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Finding the Fourth Proportional to 9,886.10, 13,642.82 and 5,409.86

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Solution

The fourth proportional to 9,886.10, 13,642.82 and 5,409.86 is: 7,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.10 : 13,642.82 = 5,409.86 : x
  2. Step 2: Convert to fraction form
    9,886.10/13,642.82 = 5,409.86/x
  3. Step 3: Cross multiply
    9,886.10x = 13,642.82 × 5,409.86
  4. Step 4: Simplify right side
    9,886.10x = 73,805,691.52
  5. Step 5: Solve for x
    x = 73,805,691.52/9,886.10
  6. Step 6: Final answer
    x = 7,465.60

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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.