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Finding the Fourth Proportional to 9,456.71, 14,184.54 and 2,882.34

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Solution

The fourth proportional to 9,456.71, 14,184.54 and 2,882.34 is: 4,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.71 : 14,184.54 = 2,882.34 : x
  2. Step 2: Convert to fraction form
    9,456.71/14,184.54 = 2,882.34/x
  3. Step 3: Cross multiply
    9,456.71x = 14,184.54 × 2,882.34
  4. Step 4: Simplify right side
    9,456.71x = 40,884,667.02
  5. Step 5: Solve for x
    x = 40,884,667.02/9,456.71
  6. Step 6: Final answer
    x = 4,323.35

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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.