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Finding the Fourth Proportional to 9,578, 14,367.02 and 2,652.52

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Solution

The fourth proportional to 9,578, 14,367.02 and 2,652.52 is: 3,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578 : 14,367.02 = 2,652.52 : x
  2. Step 2: Convert to fraction form
    9,578/14,367.02 = 2,652.52/x
  3. Step 3: Cross multiply
    9,578x = 14,367.02 × 2,652.52
  4. Step 4: Simplify right side
    9,578x = 38,108,807.89
  5. Step 5: Solve for x
    x = 38,108,807.89/9,578
  6. Step 6: Final answer
    x = 3,978.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.