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Finding the Fourth Proportional to 9,637.62, 14,454.03 and 4,704.66

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Solution

The fourth proportional to 9,637.62, 14,454.03 and 4,704.66 is: 7,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.62 : 14,454.03 = 4,704.66 : x
  2. Step 2: Convert to fraction form
    9,637.62/14,454.03 = 4,704.66/x
  3. Step 3: Cross multiply
    9,637.62x = 14,454.03 × 4,704.66
  4. Step 4: Simplify right side
    9,637.62x = 68,001,296.78
  5. Step 5: Solve for x
    x = 68,001,296.78/9,637.62
  6. Step 6: Final answer
    x = 7,055.82

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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.