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Finding the Fourth Proportional to 9,065.52, 13,595.40 and 3,870

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Solution

The fourth proportional to 9,065.52, 13,595.40 and 3,870 is: 5,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.52 : 13,595.40 = 3,870 : x
  2. Step 2: Convert to fraction form
    9,065.52/13,595.40 = 3,870/x
  3. Step 3: Cross multiply
    9,065.52x = 13,595.40 × 3,870
  4. Step 4: Simplify right side
    9,065.52x = 52,614,198
  5. Step 5: Solve for x
    x = 52,614,198/9,065.52
  6. Step 6: Final answer
    x = 5,803.77

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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.