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Finding the Fourth Proportional to 9,386.80, 14,080.20 and 6,276.40

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Solution

The fourth proportional to 9,386.80, 14,080.20 and 6,276.40 is: 9,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.80 : 14,080.20 = 6,276.40 : x
  2. Step 2: Convert to fraction form
    9,386.80/14,080.20 = 6,276.40/x
  3. Step 3: Cross multiply
    9,386.80x = 14,080.20 × 6,276.40
  4. Step 4: Simplify right side
    9,386.80x = 88,372,967.28
  5. Step 5: Solve for x
    x = 88,372,967.28/9,386.80
  6. Step 6: Final answer
    x = 9,414.60

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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.