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Finding the Fourth Proportional to 9,305.64, 12,841.32 and 5,114.04

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Solution

The fourth proportional to 9,305.64, 12,841.32 and 5,114.04 is: 7,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.64 : 12,841.32 = 5,114.04 : x
  2. Step 2: Convert to fraction form
    9,305.64/12,841.32 = 5,114.04/x
  3. Step 3: Cross multiply
    9,305.64x = 12,841.32 × 5,114.04
  4. Step 4: Simplify right side
    9,305.64x = 65,671,024.13
  5. Step 5: Solve for x
    x = 65,671,024.13/9,305.64
  6. Step 6: Final answer
    x = 7,057.12

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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.