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Finding the Fourth Proportional to 7,023.60, 9,862.20 and 7,023.60

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Solution

The fourth proportional to 7,023.60, 9,862.20 and 7,023.60 is: 9,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.60 : 9,862.20 = 7,023.60 : x
  2. Step 2: Convert to fraction form
    7,023.60/9,862.20 = 7,023.60/x
  3. Step 3: Cross multiply
    7,023.60x = 9,862.20 × 7,023.60
  4. Step 4: Simplify right side
    7,023.60x = 69,268,147.92
  5. Step 5: Solve for x
    x = 69,268,147.92/7,023.60
  6. Step 6: Final answer
    x = 9,862.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.