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Finding the Fourth Proportional to 9,402.40, 14,110.80 and 3,484.90

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Solution

The fourth proportional to 9,402.40, 14,110.80 and 3,484.90 is: 5,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.40 : 14,110.80 = 3,484.90 : x
  2. Step 2: Convert to fraction form
    9,402.40/14,110.80 = 3,484.90/x
  3. Step 3: Cross multiply
    9,402.40x = 14,110.80 × 3,484.90
  4. Step 4: Simplify right side
    9,402.40x = 49,174,726.92
  5. Step 5: Solve for x
    x = 49,174,726.92/9,402.40
  6. Step 6: Final answer
    x = 5,230.02

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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.