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Finding the Fourth Proportional to 9,866.33, 13,615.86 and 5,886.93

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Solution

The fourth proportional to 9,866.33, 13,615.86 and 5,886.93 is: 8,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.33 : 13,615.86 = 5,886.93 : x
  2. Step 2: Convert to fraction form
    9,866.33/13,615.86 = 5,886.93/x
  3. Step 3: Cross multiply
    9,866.33x = 13,615.86 × 5,886.93
  4. Step 4: Simplify right side
    9,866.33x = 80,155,614.71
  5. Step 5: Solve for x
    x = 80,155,614.71/9,866.33
  6. Step 6: Final answer
    x = 8,124.16

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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.