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Finding the Fourth Proportional to 9,695.86, 14,524.75 and 6,398.89

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Solution

The fourth proportional to 9,695.86, 14,524.75 and 6,398.89 is: 9,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.86 : 14,524.75 = 6,398.89 : x
  2. Step 2: Convert to fraction form
    9,695.86/14,524.75 = 6,398.89/x
  3. Step 3: Cross multiply
    9,695.86x = 14,524.75 × 6,398.89
  4. Step 4: Simplify right side
    9,695.86x = 92,942,277.53
  5. Step 5: Solve for x
    x = 92,942,277.53/9,695.86
  6. Step 6: Final answer
    x = 9,585.77

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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.