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Finding the Fourth Proportional to 9,349.80, 14,024.70 and 4,165.80

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Solution

The fourth proportional to 9,349.80, 14,024.70 and 4,165.80 is: 6,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.80 : 14,024.70 = 4,165.80 : x
  2. Step 2: Convert to fraction form
    9,349.80/14,024.70 = 4,165.80/x
  3. Step 3: Cross multiply
    9,349.80x = 14,024.70 × 4,165.80
  4. Step 4: Simplify right side
    9,349.80x = 58,424,095.26
  5. Step 5: Solve for x
    x = 58,424,095.26/9,349.80
  6. Step 6: Final answer
    x = 6,248.70

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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.