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Finding the Fourth Proportional to 6,854.04, 9,454.86 and 4,331.52

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Solution

The fourth proportional to 6,854.04, 9,454.86 and 4,331.52 is: 5,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.04 : 9,454.86 = 4,331.52 : x
  2. Step 2: Convert to fraction form
    6,854.04/9,454.86 = 4,331.52/x
  3. Step 3: Cross multiply
    6,854.04x = 9,454.86 × 4,331.52
  4. Step 4: Simplify right side
    6,854.04x = 40,953,915.19
  5. Step 5: Solve for x
    x = 40,953,915.19/6,854.04
  6. Step 6: Final answer
    x = 5,975.15

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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.