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Finding the Fourth Proportional to 9,201.60, 13,792.80 and 5,035.20

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Solution

The fourth proportional to 9,201.60, 13,792.80 and 5,035.20 is: 7,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.60 : 13,792.80 = 5,035.20 : x
  2. Step 2: Convert to fraction form
    9,201.60/13,792.80 = 5,035.20/x
  3. Step 3: Cross multiply
    9,201.60x = 13,792.80 × 5,035.20
  4. Step 4: Simplify right side
    9,201.60x = 69,449,506.56
  5. Step 5: Solve for x
    x = 69,449,506.56/9,201.60
  6. Step 6: Final answer
    x = 7,547.55

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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.