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Finding the Fourth Proportional to 9,055.25, 13,567.04 and 6,283.68

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Solution

The fourth proportional to 9,055.25, 13,567.04 and 6,283.68 is: 9,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055.25 : 13,567.04 = 6,283.68 : x
  2. Step 2: Convert to fraction form
    9,055.25/13,567.04 = 6,283.68/x
  3. Step 3: Cross multiply
    9,055.25x = 13,567.04 × 6,283.68
  4. Step 4: Simplify right side
    9,055.25x = 85,250,937.91
  5. Step 5: Solve for x
    x = 85,250,937.91/9,055.25
  6. Step 6: Final answer
    x = 9,414.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.