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Finding the Fourth Proportional to 9,002.86, 12,422.08 and 5,464.10

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Solution

The fourth proportional to 9,002.86, 12,422.08 and 5,464.10 is: 7,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.86 : 12,422.08 = 5,464.10 : x
  2. Step 2: Convert to fraction form
    9,002.86/12,422.08 = 5,464.10/x
  3. Step 3: Cross multiply
    9,002.86x = 12,422.08 × 5,464.10
  4. Step 4: Simplify right side
    9,002.86x = 67,875,487.33
  5. Step 5: Solve for x
    x = 67,875,487.33/9,002.86
  6. Step 6: Final answer
    x = 7,539.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.