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Finding the Fourth Proportional to 6,525.60, 9,802.80 and 6,352.80

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Solution

The fourth proportional to 6,525.60, 9,802.80 and 6,352.80 is: 9,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.60 : 9,802.80 = 6,352.80 : x
  2. Step 2: Convert to fraction form
    6,525.60/9,802.80 = 6,352.80/x
  3. Step 3: Cross multiply
    6,525.60x = 9,802.80 × 6,352.80
  4. Step 4: Simplify right side
    6,525.60x = 62,275,227.84
  5. Step 5: Solve for x
    x = 62,275,227.84/6,525.60
  6. Step 6: Final answer
    x = 9,543.22

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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.