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Finding the Fourth Proportional to 9,805.60, 14,708.40 and 6,695.20

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Solution

The fourth proportional to 9,805.60, 14,708.40 and 6,695.20 is: 10,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.60 : 14,708.40 = 6,695.20 : x
  2. Step 2: Convert to fraction form
    9,805.60/14,708.40 = 6,695.20/x
  3. Step 3: Cross multiply
    9,805.60x = 14,708.40 × 6,695.20
  4. Step 4: Simplify right side
    9,805.60x = 98,475,679.68
  5. Step 5: Solve for x
    x = 98,475,679.68/9,805.60
  6. Step 6: Final answer
    x = 10,042.80

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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.