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Finding the Fourth Proportional to 9,532.59, 13,161.29 and 7,306.10

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Solution

The fourth proportional to 9,532.59, 13,161.29 and 7,306.10 is: 10,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.59 : 13,161.29 = 7,306.10 : x
  2. Step 2: Convert to fraction form
    9,532.59/13,161.29 = 7,306.10/x
  3. Step 3: Cross multiply
    9,532.59x = 13,161.29 × 7,306.10
  4. Step 4: Simplify right side
    9,532.59x = 96,157,647.89
  5. Step 5: Solve for x
    x = 96,157,647.89/9,532.59
  6. Step 6: Final answer
    x = 10,087.26

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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.