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Finding the Fourth Proportional to 9,232.40, 13,848.80 and 2,992.40

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Solution

The fourth proportional to 9,232.40, 13,848.80 and 2,992.40 is: 4,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.40 : 13,848.80 = 2,992.40 : x
  2. Step 2: Convert to fraction form
    9,232.40/13,848.80 = 2,992.40/x
  3. Step 3: Cross multiply
    9,232.40x = 13,848.80 × 2,992.40
  4. Step 4: Simplify right side
    9,232.40x = 41,441,116.85
  5. Step 5: Solve for x
    x = 41,441,116.85/9,232.40
  6. Step 6: Final answer
    x = 4,488.66

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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.