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Finding the Fourth Proportional to 9,292.32, 13,929.84 and 3,134.88

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Solution

The fourth proportional to 9,292.32, 13,929.84 and 3,134.88 is: 4,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.32 : 13,929.84 = 3,134.88 : x
  2. Step 2: Convert to fraction form
    9,292.32/13,929.84 = 3,134.88/x
  3. Step 3: Cross multiply
    9,292.32x = 13,929.84 × 3,134.88
  4. Step 4: Simplify right side
    9,292.32x = 43,668,376.82
  5. Step 5: Solve for x
    x = 43,668,376.82/9,292.32
  6. Step 6: Final answer
    x = 4,699.41

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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.