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Finding the Fourth Proportional to 9,637.70, 14,454.11 and 4,635.14

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Solution

The fourth proportional to 9,637.70, 14,454.11 and 4,635.14 is: 6,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.70 : 14,454.11 = 4,635.14 : x
  2. Step 2: Convert to fraction form
    9,637.70/14,454.11 = 4,635.14/x
  3. Step 3: Cross multiply
    9,637.70x = 14,454.11 × 4,635.14
  4. Step 4: Simplify right side
    9,637.70x = 66,996,762.74
  5. Step 5: Solve for x
    x = 66,996,762.74/9,637.70
  6. Step 6: Final answer
    x = 6,951.53

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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.