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Finding the Fourth Proportional to 9,987.26, 13,785.64 and 6,447.74

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Solution

The fourth proportional to 9,987.26, 13,785.64 and 6,447.74 is: 8,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.26 : 13,785.64 = 6,447.74 : x
  2. Step 2: Convert to fraction form
    9,987.26/13,785.64 = 6,447.74/x
  3. Step 3: Cross multiply
    9,987.26x = 13,785.64 × 6,447.74
  4. Step 4: Simplify right side
    9,987.26x = 88,886,137.41
  5. Step 5: Solve for x
    x = 88,886,137.41/9,987.26
  6. Step 6: Final answer
    x = 8,899.96

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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.