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Finding the Fourth Proportional to 9,898.40, 14,847.62 and 2,502.88

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Solution

The fourth proportional to 9,898.40, 14,847.62 and 2,502.88 is: 3,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.40 : 14,847.62 = 2,502.88 : x
  2. Step 2: Convert to fraction form
    9,898.40/14,847.62 = 2,502.88/x
  3. Step 3: Cross multiply
    9,898.40x = 14,847.62 × 2,502.88
  4. Step 4: Simplify right side
    9,898.40x = 37,161,761.51
  5. Step 5: Solve for x
    x = 37,161,761.51/9,898.40
  6. Step 6: Final answer
    x = 3,754.32

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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.