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Finding the Fourth Proportional to 9,132.90, 13,707.45 and 7,820.70

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Solution

The fourth proportional to 9,132.90, 13,707.45 and 7,820.70 is: 11,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.90 : 13,707.45 = 7,820.70 : x
  2. Step 2: Convert to fraction form
    9,132.90/13,707.45 = 7,820.70/x
  3. Step 3: Cross multiply
    9,132.90x = 13,707.45 × 7,820.70
  4. Step 4: Simplify right side
    9,132.90x = 107,201,854.22
  5. Step 5: Solve for x
    x = 107,201,854.22/9,132.90
  6. Step 6: Final answer
    x = 11,737.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.