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Finding the Fourth Proportional to 9,802.80, 13,527.68 and 5,610.24

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Solution

The fourth proportional to 9,802.80, 13,527.68 and 5,610.24 is: 7,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.80 : 13,527.68 = 5,610.24 : x
  2. Step 2: Convert to fraction form
    9,802.80/13,527.68 = 5,610.24/x
  3. Step 3: Cross multiply
    9,802.80x = 13,527.68 × 5,610.24
  4. Step 4: Simplify right side
    9,802.80x = 75,893,531.44
  5. Step 5: Solve for x
    x = 75,893,531.44/9,802.80
  6. Step 6: Final answer
    x = 7,742.03

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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.