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Finding the Fourth Proportional to 9,314.94, 12,854.55 and 5,282.53

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Solution

The fourth proportional to 9,314.94, 12,854.55 and 5,282.53 is: 7,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.94 : 12,854.55 = 5,282.53 : x
  2. Step 2: Convert to fraction form
    9,314.94/12,854.55 = 5,282.53/x
  3. Step 3: Cross multiply
    9,314.94x = 12,854.55 × 5,282.53
  4. Step 4: Simplify right side
    9,314.94x = 67,904,533.68
  5. Step 5: Solve for x
    x = 67,904,533.68/9,314.94
  6. Step 6: Final answer
    x = 7,289.85

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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.