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Finding the Fourth Proportional to 10,289.80, 15,434.70 and 9,641.80

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Solution

The fourth proportional to 10,289.80, 15,434.70 and 9,641.80 is: 14,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.80 : 15,434.70 = 9,641.80 : x
  2. Step 2: Convert to fraction form
    10,289.80/15,434.70 = 9,641.80/x
  3. Step 3: Cross multiply
    10,289.80x = 15,434.70 × 9,641.80
  4. Step 4: Simplify right side
    10,289.80x = 148,818,290.46
  5. Step 5: Solve for x
    x = 148,818,290.46/10,289.80
  6. Step 6: Final answer
    x = 14,462.70

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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.