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Finding the Fourth Proportional to 7,113.60, 9,816.72 and 3,969.60

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Solution

The fourth proportional to 7,113.60, 9,816.72 and 3,969.60 is: 5,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.60 : 9,816.72 = 3,969.60 : x
  2. Step 2: Convert to fraction form
    7,113.60/9,816.72 = 3,969.60/x
  3. Step 3: Cross multiply
    7,113.60x = 9,816.72 × 3,969.60
  4. Step 4: Simplify right side
    7,113.60x = 38,968,451.71
  5. Step 5: Solve for x
    x = 38,968,451.71/7,113.60
  6. Step 6: Final answer
    x = 5,478.02

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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.