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Finding the Fourth Proportional to 9,532.90, 13,160.37 and 7,403.65

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Solution

The fourth proportional to 9,532.90, 13,160.37 and 7,403.65 is: 10,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.90 : 13,160.37 = 7,403.65 : x
  2. Step 2: Convert to fraction form
    9,532.90/13,160.37 = 7,403.65/x
  3. Step 3: Cross multiply
    9,532.90x = 13,160.37 × 7,403.65
  4. Step 4: Simplify right side
    9,532.90x = 97,434,773.35
  5. Step 5: Solve for x
    x = 97,434,773.35/9,532.90
  6. Step 6: Final answer
    x = 10,220.90

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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.