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Finding the Fourth Proportional to 9,242.80, 13,854.66 and 4,308.40

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Solution

The fourth proportional to 9,242.80, 13,854.66 and 4,308.40 is: 6,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.80 : 13,854.66 = 4,308.40 : x
  2. Step 2: Convert to fraction form
    9,242.80/13,854.66 = 4,308.40/x
  3. Step 3: Cross multiply
    9,242.80x = 13,854.66 × 4,308.40
  4. Step 4: Simplify right side
    9,242.80x = 59,691,417.14
  5. Step 5: Solve for x
    x = 59,691,417.14/9,242.80
  6. Step 6: Final answer
    x = 6,458.15

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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.