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Finding the Fourth Proportional to 9,314.80, 12,854.08 and 5,123.02

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Solution

The fourth proportional to 9,314.80, 12,854.08 and 5,123.02 is: 7,069.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.80 : 12,854.08 = 5,123.02 : x
  2. Step 2: Convert to fraction form
    9,314.80/12,854.08 = 5,123.02/x
  3. Step 3: Cross multiply
    9,314.80x = 12,854.08 × 5,123.02
  4. Step 4: Simplify right side
    9,314.80x = 65,851,708.92
  5. Step 5: Solve for x
    x = 65,851,708.92/9,314.80
  6. Step 6: Final answer
    x = 7,069.58

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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.