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Finding the Fourth Proportional to 6,024.78, 9,030.78 and 2,325.42

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Solution

The fourth proportional to 6,024.78, 9,030.78 and 2,325.42 is: 3,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.78 : 9,030.78 = 2,325.42 : x
  2. Step 2: Convert to fraction form
    6,024.78/9,030.78 = 2,325.42/x
  3. Step 3: Cross multiply
    6,024.78x = 9,030.78 × 2,325.42
  4. Step 4: Simplify right side
    6,024.78x = 21,000,356.43
  5. Step 5: Solve for x
    x = 21,000,356.43/6,024.78
  6. Step 6: Final answer
    x = 3,485.66

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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.