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Finding the Fourth Proportional to 9,292.50, 12,824.46 and 5,101.56

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Solution

The fourth proportional to 9,292.50, 12,824.46 and 5,101.56 is: 7,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.50 : 12,824.46 = 5,101.56 : x
  2. Step 2: Convert to fraction form
    9,292.50/12,824.46 = 5,101.56/x
  3. Step 3: Cross multiply
    9,292.50x = 12,824.46 × 5,101.56
  4. Step 4: Simplify right side
    9,292.50x = 65,424,752.16
  5. Step 5: Solve for x
    x = 65,424,752.16/9,292.50
  6. Step 6: Final answer
    x = 7,040.60

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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.