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Finding the Fourth Proportional to 9,565.31, 13,212.67 and 6,575.95

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Solution

The fourth proportional to 9,565.31, 13,212.67 and 6,575.95 is: 9,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.31 : 13,212.67 = 6,575.95 : x
  2. Step 2: Convert to fraction form
    9,565.31/13,212.67 = 6,575.95/x
  3. Step 3: Cross multiply
    9,565.31x = 13,212.67 × 6,575.95
  4. Step 4: Simplify right side
    9,565.31x = 86,885,869.69
  5. Step 5: Solve for x
    x = 86,885,869.69/9,565.31
  6. Step 6: Final answer
    x = 9,083.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.