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Finding the Fourth Proportional to 9,862.08, 13,609.74 and 5,385.93

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Solution

The fourth proportional to 9,862.08, 13,609.74 and 5,385.93 is: 7,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.08 : 13,609.74 = 5,385.93 : x
  2. Step 2: Convert to fraction form
    9,862.08/13,609.74 = 5,385.93/x
  3. Step 3: Cross multiply
    9,862.08x = 13,609.74 × 5,385.93
  4. Step 4: Simplify right side
    9,862.08x = 73,301,106.96
  5. Step 5: Solve for x
    x = 73,301,106.96/9,862.08
  6. Step 6: Final answer
    x = 7,432.62

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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.