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Finding the Fourth Proportional to 7,201.60, 9,938.93 and 4,015.42

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Solution

The fourth proportional to 7,201.60, 9,938.93 and 4,015.42 is: 5,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.60 : 9,938.93 = 4,015.42 : x
  2. Step 2: Convert to fraction form
    7,201.60/9,938.93 = 4,015.42/x
  3. Step 3: Cross multiply
    7,201.60x = 9,938.93 × 4,015.42
  4. Step 4: Simplify right side
    7,201.60x = 39,908,978.30
  5. Step 5: Solve for x
    x = 39,908,978.30/7,201.60
  6. Step 6: Final answer
    x = 5,541.68

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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.