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Finding the Fourth Proportional to 9,842.91, 13,570.50 and 7,327.86

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Solution

The fourth proportional to 9,842.91, 13,570.50 and 7,327.86 is: 10,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.91 : 13,570.50 = 7,327.86 : x
  2. Step 2: Convert to fraction form
    9,842.91/13,570.50 = 7,327.86/x
  3. Step 3: Cross multiply
    9,842.91x = 13,570.50 × 7,327.86
  4. Step 4: Simplify right side
    9,842.91x = 99,442,724.13
  5. Step 5: Solve for x
    x = 99,442,724.13/9,842.91
  6. Step 6: Final answer
    x = 10,102.98

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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.