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Finding the Fourth Proportional to 9,089.08, 13,637.94 and 4,471

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Solution

The fourth proportional to 9,089.08, 13,637.94 and 4,471 is: 6,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.08 : 13,637.94 = 4,471 : x
  2. Step 2: Convert to fraction form
    9,089.08/13,637.94 = 4,471/x
  3. Step 3: Cross multiply
    9,089.08x = 13,637.94 × 4,471
  4. Step 4: Simplify right side
    9,089.08x = 60,975,229.74
  5. Step 5: Solve for x
    x = 60,975,229.74/9,089.08
  6. Step 6: Final answer
    x = 6,708.63

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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.