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Finding the Fourth Proportional to 7,138.75, 9,852.60 and 4,306.53

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Solution

The fourth proportional to 7,138.75, 9,852.60 and 4,306.53 is: 5,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.75 : 9,852.60 = 4,306.53 : x
  2. Step 2: Convert to fraction form
    7,138.75/9,852.60 = 4,306.53/x
  3. Step 3: Cross multiply
    7,138.75x = 9,852.60 × 4,306.53
  4. Step 4: Simplify right side
    7,138.75x = 42,430,517.48
  5. Step 5: Solve for x
    x = 42,430,517.48/7,138.75
  6. Step 6: Final answer
    x = 5,943.69

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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.