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Finding the Fourth Proportional to 9,930.22, 14,895.32 and 2,534.68

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Solution

The fourth proportional to 9,930.22, 14,895.32 and 2,534.68 is: 3,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.22 : 14,895.32 = 2,534.68 : x
  2. Step 2: Convert to fraction form
    9,930.22/14,895.32 = 2,534.68/x
  3. Step 3: Cross multiply
    9,930.22x = 14,895.32 × 2,534.68
  4. Step 4: Simplify right side
    9,930.22x = 37,754,782.55
  5. Step 5: Solve for x
    x = 37,754,782.55/9,930.22
  6. Step 6: Final answer
    x = 3,802.01

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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.