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Finding the Fourth Proportional to 9,465.87, 13,065.12 and 5,883.53

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Solution

The fourth proportional to 9,465.87, 13,065.12 and 5,883.53 is: 8,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.87 : 13,065.12 = 5,883.53 : x
  2. Step 2: Convert to fraction form
    9,465.87/13,065.12 = 5,883.53/x
  3. Step 3: Cross multiply
    9,465.87x = 13,065.12 × 5,883.53
  4. Step 4: Simplify right side
    9,465.87x = 76,869,073.47
  5. Step 5: Solve for x
    x = 76,869,073.47/9,465.87
  6. Step 6: Final answer
    x = 8,120.66

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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.