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Finding the Fourth Proportional to 9,097.22, 12,553.49 and 5,117.57

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Solution

The fourth proportional to 9,097.22, 12,553.49 and 5,117.57 is: 7,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.22 : 12,553.49 = 5,117.57 : x
  2. Step 2: Convert to fraction form
    9,097.22/12,553.49 = 5,117.57/x
  3. Step 3: Cross multiply
    9,097.22x = 12,553.49 × 5,117.57
  4. Step 4: Simplify right side
    9,097.22x = 64,243,301.05
  5. Step 5: Solve for x
    x = 64,243,301.05/9,097.22
  6. Step 6: Final answer
    x = 7,061.86

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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.