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Finding the Fourth Proportional to 9,602.40, 14,404.56 and 3,444.96

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Solution

The fourth proportional to 9,602.40, 14,404.56 and 3,444.96 is: 5,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.40 : 14,404.56 = 3,444.96 : x
  2. Step 2: Convert to fraction form
    9,602.40/14,404.56 = 3,444.96/x
  3. Step 3: Cross multiply
    9,602.40x = 14,404.56 × 3,444.96
  4. Step 4: Simplify right side
    9,602.40x = 49,623,133.02
  5. Step 5: Solve for x
    x = 49,623,133.02/9,602.40
  6. Step 6: Final answer
    x = 5,167.78

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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.