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Finding the Fourth Proportional to 9,637.59, 14,446.32 and 4,700.44

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Solution

The fourth proportional to 9,637.59, 14,446.32 and 4,700.44 is: 7,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.59 : 14,446.32 = 4,700.44 : x
  2. Step 2: Convert to fraction form
    9,637.59/14,446.32 = 4,700.44/x
  3. Step 3: Cross multiply
    9,637.59x = 14,446.32 × 4,700.44
  4. Step 4: Simplify right side
    9,637.59x = 67,904,060.38
  5. Step 5: Solve for x
    x = 67,904,060.38/9,637.59
  6. Step 6: Final answer
    x = 7,045.75

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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.