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Finding the Fourth Proportional to 9,398.16, 14,097.24 and 3,157.68

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Solution

The fourth proportional to 9,398.16, 14,097.24 and 3,157.68 is: 4,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.16 : 14,097.24 = 3,157.68 : x
  2. Step 2: Convert to fraction form
    9,398.16/14,097.24 = 3,157.68/x
  3. Step 3: Cross multiply
    9,398.16x = 14,097.24 × 3,157.68
  4. Step 4: Simplify right side
    9,398.16x = 44,514,572.80
  5. Step 5: Solve for x
    x = 44,514,572.80/9,398.16
  6. Step 6: Final answer
    x = 4,736.52

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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.