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Finding the Fourth Proportional to 9,898.32, 14,847.42 and 4,054.92

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Solution

The fourth proportional to 9,898.32, 14,847.42 and 4,054.92 is: 6,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.32 : 14,847.42 = 4,054.92 : x
  2. Step 2: Convert to fraction form
    9,898.32/14,847.42 = 4,054.92/x
  3. Step 3: Cross multiply
    9,898.32x = 14,847.42 × 4,054.92
  4. Step 4: Simplify right side
    9,898.32x = 60,205,100.31
  5. Step 5: Solve for x
    x = 60,205,100.31/9,898.32
  6. Step 6: Final answer
    x = 6,082.36

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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.