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Finding the Fourth Proportional to 9,932.88, 14,900.92 and 3,005.76

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Solution

The fourth proportional to 9,932.88, 14,900.92 and 3,005.76 is: 4,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.88 : 14,900.92 = 3,005.76 : x
  2. Step 2: Convert to fraction form
    9,932.88/14,900.92 = 3,005.76/x
  3. Step 3: Cross multiply
    9,932.88x = 14,900.92 × 3,005.76
  4. Step 4: Simplify right side
    9,932.88x = 44,788,589.30
  5. Step 5: Solve for x
    x = 44,788,589.30/9,932.88
  6. Step 6: Final answer
    x = 4,509.12

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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.