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Finding the Fourth Proportional to 9,498.12, 14,247.40 and 2,924.88

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Solution

The fourth proportional to 9,498.12, 14,247.40 and 2,924.88 is: 4,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.12 : 14,247.40 = 2,924.88 : x
  2. Step 2: Convert to fraction form
    9,498.12/14,247.40 = 2,924.88/x
  3. Step 3: Cross multiply
    9,498.12x = 14,247.40 × 2,924.88
  4. Step 4: Simplify right side
    9,498.12x = 41,671,935.31
  5. Step 5: Solve for x
    x = 41,671,935.31/9,498.12
  6. Step 6: Final answer
    x = 4,387.39

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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.