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Finding the Fourth Proportional to 9,922,168.32, 13,695,802.29 and 6,431,347.32

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Solution

The fourth proportional to 9,922,168.32, 13,695,802.29 and 6,431,347.32 is: 8,877,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922,168.32 : 13,695,802.29 = 6,431,347.32 : x
  2. Step 2: Convert to fraction form
    9,922,168.32/13,695,802.29 = 6,431,347.32/x
  3. Step 3: Cross multiply
    9,922,168.32x = 13,695,802.29 × 6,431,347.32
  4. Step 4: Simplify right side
    9,922,168.32x = 88,082,461,353,041.36
  5. Step 5: Solve for x
    x = 88,082,461,353,041.36/9,922,168.32
  6. Step 6: Final answer
    x = 8,877,339.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.