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Finding the Fourth Proportional to 9,878.28, 13,624.32 and 5,898.52

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Solution

The fourth proportional to 9,878.28, 13,624.32 and 5,898.52 is: 8,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.28 : 13,624.32 = 5,898.52 : x
  2. Step 2: Convert to fraction form
    9,878.28/13,624.32 = 5,898.52/x
  3. Step 3: Cross multiply
    9,878.28x = 13,624.32 × 5,898.52
  4. Step 4: Simplify right side
    9,878.28x = 80,363,324.01
  5. Step 5: Solve for x
    x = 80,363,324.01/9,878.28
  6. Step 6: Final answer
    x = 8,135.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.