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Finding the Fourth Proportional to 9,695.48, 14,524.19 and 6,398.51

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Solution

The fourth proportional to 9,695.48, 14,524.19 and 6,398.51 is: 9,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.48 : 14,524.19 = 6,398.51 : x
  2. Step 2: Convert to fraction form
    9,695.48/14,524.19 = 6,398.51/x
  3. Step 3: Cross multiply
    9,695.48x = 14,524.19 × 6,398.51
  4. Step 4: Simplify right side
    9,695.48x = 92,933,142.96
  5. Step 5: Solve for x
    x = 92,933,142.96/9,695.48
  6. Step 6: Final answer
    x = 9,585.20

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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.