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Finding the Fourth Proportional to 9,872.32, 14,804.16 and 3,712

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Solution

The fourth proportional to 9,872.32, 14,804.16 and 3,712 is: 5,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.32 : 14,804.16 = 3,712 : x
  2. Step 2: Convert to fraction form
    9,872.32/14,804.16 = 3,712/x
  3. Step 3: Cross multiply
    9,872.32x = 14,804.16 × 3,712
  4. Step 4: Simplify right side
    9,872.32x = 54,953,041.92
  5. Step 5: Solve for x
    x = 54,953,041.92/9,872.32
  6. Step 6: Final answer
    x = 5,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.