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Finding the Fourth Proportional to 7,041.60, 9,735.96 and 6,166.80

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Solution

The fourth proportional to 7,041.60, 9,735.96 and 6,166.80 is: 8,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.60 : 9,735.96 = 6,166.80 : x
  2. Step 2: Convert to fraction form
    7,041.60/9,735.96 = 6,166.80/x
  3. Step 3: Cross multiply
    7,041.60x = 9,735.96 × 6,166.80
  4. Step 4: Simplify right side
    7,041.60x = 60,039,718.13
  5. Step 5: Solve for x
    x = 60,039,718.13/7,041.60
  6. Step 6: Final answer
    x = 8,526.43

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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.