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Finding the Fourth Proportional to 9,188.80, 13,772.40 and 6,877.60

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Solution

The fourth proportional to 9,188.80, 13,772.40 and 6,877.60 is: 10,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.80 : 13,772.40 = 6,877.60 : x
  2. Step 2: Convert to fraction form
    9,188.80/13,772.40 = 6,877.60/x
  3. Step 3: Cross multiply
    9,188.80x = 13,772.40 × 6,877.60
  4. Step 4: Simplify right side
    9,188.80x = 94,721,058.24
  5. Step 5: Solve for x
    x = 94,721,058.24/9,188.80
  6. Step 6: Final answer
    x = 10,308.32

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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.