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Finding the Fourth Proportional to 10,264.40, 15,358.20 and 9,342.80

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Solution

The fourth proportional to 10,264.40, 15,358.20 and 9,342.80 is: 13,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.40 : 15,358.20 = 9,342.80 : x
  2. Step 2: Convert to fraction form
    10,264.40/15,358.20 = 9,342.80/x
  3. Step 3: Cross multiply
    10,264.40x = 15,358.20 × 9,342.80
  4. Step 4: Simplify right side
    10,264.40x = 143,488,590.96
  5. Step 5: Solve for x
    x = 143,488,590.96/10,264.40
  6. Step 6: Final answer
    x = 13,979.25

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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.