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Finding the Fourth Proportional to 9,498.89, 14,248.17 and 2,478.93

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Solution

The fourth proportional to 9,498.89, 14,248.17 and 2,478.93 is: 3,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.89 : 14,248.17 = 2,478.93 : x
  2. Step 2: Convert to fraction form
    9,498.89/14,248.17 = 2,478.93/x
  3. Step 3: Cross multiply
    9,498.89x = 14,248.17 × 2,478.93
  4. Step 4: Simplify right side
    9,498.89x = 35,320,216.06
  5. Step 5: Solve for x
    x = 35,320,216.06/9,498.89
  6. Step 6: Final answer
    x = 3,718.35

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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.