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Finding the Fourth Proportional to 9,314.72, 12,854.26 and 5,282.32

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Solution

The fourth proportional to 9,314.72, 12,854.26 and 5,282.32 is: 7,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.72 : 12,854.26 = 5,282.32 : x
  2. Step 2: Convert to fraction form
    9,314.72/12,854.26 = 5,282.32/x
  3. Step 3: Cross multiply
    9,314.72x = 12,854.26 × 5,282.32
  4. Step 4: Simplify right side
    9,314.72x = 67,900,313.25
  5. Step 5: Solve for x
    x = 67,900,313.25/9,314.72
  6. Step 6: Final answer
    x = 7,289.57

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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.