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Finding the Fourth Proportional to 9,929.80, 13,704.68 and 5,952.16

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Solution

The fourth proportional to 9,929.80, 13,704.68 and 5,952.16 is: 8,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.80 : 13,704.68 = 5,952.16 : x
  2. Step 2: Convert to fraction form
    9,929.80/13,704.68 = 5,952.16/x
  3. Step 3: Cross multiply
    9,929.80x = 13,704.68 × 5,952.16
  4. Step 4: Simplify right side
    9,929.80x = 81,572,448.11
  5. Step 5: Solve for x
    x = 81,572,448.11/9,929.80
  6. Step 6: Final answer
    x = 8,214.91

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