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Finding the Fourth Proportional to 9,234.74, 13,848.02 and 2,659.40

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Solution

The fourth proportional to 9,234.74, 13,848.02 and 2,659.40 is: 3,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.74 : 13,848.02 = 2,659.40 : x
  2. Step 2: Convert to fraction form
    9,234.74/13,848.02 = 2,659.40/x
  3. Step 3: Cross multiply
    9,234.74x = 13,848.02 × 2,659.40
  4. Step 4: Simplify right side
    9,234.74x = 36,827,341.85
  5. Step 5: Solve for x
    x = 36,827,341.85/9,234.74
  6. Step 6: Final answer
    x = 3,987.92

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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.