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Finding the Fourth Proportional to 6,288.24, 9,417.78 and 6,069.54

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Solution

The fourth proportional to 6,288.24, 9,417.78 and 6,069.54 is: 9,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.24 : 9,417.78 = 6,069.54 : x
  2. Step 2: Convert to fraction form
    6,288.24/9,417.78 = 6,069.54/x
  3. Step 3: Cross multiply
    6,288.24x = 9,417.78 × 6,069.54
  4. Step 4: Simplify right side
    6,288.24x = 57,161,592.42
  5. Step 5: Solve for x
    x = 57,161,592.42/6,288.24
  6. Step 6: Final answer
    x = 9,090.24

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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.