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Finding the Fourth Proportional to 8,641.47, 12,969.94 and 4,427.60

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Solution

The fourth proportional to 8,641.47, 12,969.94 and 4,427.60 is: 6,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.47 : 12,969.94 = 4,427.60 : x
  2. Step 2: Convert to fraction form
    8,641.47/12,969.94 = 4,427.60/x
  3. Step 3: Cross multiply
    8,641.47x = 12,969.94 × 4,427.60
  4. Step 4: Simplify right side
    8,641.47x = 57,425,689.74
  5. Step 5: Solve for x
    x = 57,425,689.74/8,641.47
  6. Step 6: Final answer
    x = 6,645.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.