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Finding the Fourth Proportional to 9,019.63, 12,442.74 and 5,660.78

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Solution

The fourth proportional to 9,019.63, 12,442.74 and 5,660.78 is: 7,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.63 : 12,442.74 = 5,660.78 : x
  2. Step 2: Convert to fraction form
    9,019.63/12,442.74 = 5,660.78/x
  3. Step 3: Cross multiply
    9,019.63x = 12,442.74 × 5,660.78
  4. Step 4: Simplify right side
    9,019.63x = 70,435,613.74
  5. Step 5: Solve for x
    x = 70,435,613.74/9,019.63
  6. Step 6: Final answer
    x = 7,809.15

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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.