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Finding the Fourth Proportional to 10,283.40, 15,425.10 and 9,635.40

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Solution

The fourth proportional to 10,283.40, 15,425.10 and 9,635.40 is: 14,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.40 : 15,425.10 = 9,635.40 : x
  2. Step 2: Convert to fraction form
    10,283.40/15,425.10 = 9,635.40/x
  3. Step 3: Cross multiply
    10,283.40x = 15,425.10 × 9,635.40
  4. Step 4: Simplify right side
    10,283.40x = 148,627,008.54
  5. Step 5: Solve for x
    x = 148,627,008.54/10,283.40
  6. Step 6: Final answer
    x = 14,453.10

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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.