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Finding the Fourth Proportional to 10,291.75, 14,205.86 and 6,565.75

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Solution

The fourth proportional to 10,291.75, 14,205.86 and 6,565.75 is: 9,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.75 : 14,205.86 = 6,565.75 : x
  2. Step 2: Convert to fraction form
    10,291.75/14,205.86 = 6,565.75/x
  3. Step 3: Cross multiply
    10,291.75x = 14,205.86 × 6,565.75
  4. Step 4: Simplify right side
    10,291.75x = 93,272,125.30
  5. Step 5: Solve for x
    x = 93,272,125.30/10,291.75
  6. Step 6: Final answer
    x = 9,062.81

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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.