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Finding the Fourth Proportional to 6,552.02, 9,047.80 and 4,162.78

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Solution

The fourth proportional to 6,552.02, 9,047.80 and 4,162.78 is: 5,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.02 : 9,047.80 = 4,162.78 : x
  2. Step 2: Convert to fraction form
    6,552.02/9,047.80 = 4,162.78/x
  3. Step 3: Cross multiply
    6,552.02x = 9,047.80 × 4,162.78
  4. Step 4: Simplify right side
    6,552.02x = 37,664,017.40
  5. Step 5: Solve for x
    x = 37,664,017.40/6,552.02
  6. Step 6: Final answer
    x = 5,748.46

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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.