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Finding the Fourth Proportional to 9,139.08, 13,709.34 and 4,521

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Solution

The fourth proportional to 9,139.08, 13,709.34 and 4,521 is: 6,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.08 : 13,709.34 = 4,521 : x
  2. Step 2: Convert to fraction form
    9,139.08/13,709.34 = 4,521/x
  3. Step 3: Cross multiply
    9,139.08x = 13,709.34 × 4,521
  4. Step 4: Simplify right side
    9,139.08x = 61,979,926.14
  5. Step 5: Solve for x
    x = 61,979,926.14/9,139.08
  6. Step 6: Final answer
    x = 6,781.86

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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.