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Finding the Fourth Proportional to 9,654.34, 14,471.70 and 3,802.90

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Solution

The fourth proportional to 9,654.34, 14,471.70 and 3,802.90 is: 5,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.34 : 14,471.70 = 3,802.90 : x
  2. Step 2: Convert to fraction form
    9,654.34/14,471.70 = 3,802.90/x
  3. Step 3: Cross multiply
    9,654.34x = 14,471.70 × 3,802.90
  4. Step 4: Simplify right side
    9,654.34x = 55,034,427.93
  5. Step 5: Solve for x
    x = 55,034,427.93/9,654.34
  6. Step 6: Final answer
    x = 5,700.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.