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Finding the Fourth Proportional to 9,862.06, 13,609.75 and 5,385.86

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Solution

The fourth proportional to 9,862.06, 13,609.75 and 5,385.86 is: 7,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.06 : 13,609.75 = 5,385.86 : x
  2. Step 2: Convert to fraction form
    9,862.06/13,609.75 = 5,385.86/x
  3. Step 3: Cross multiply
    9,862.06x = 13,609.75 × 5,385.86
  4. Step 4: Simplify right side
    9,862.06x = 73,300,208.14
  5. Step 5: Solve for x
    x = 73,300,208.14/9,862.06
  6. Step 6: Final answer
    x = 7,432.55

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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.