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Finding the Fourth Proportional to 9,794.24, 14,657.52 and 6,044.52

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Solution

The fourth proportional to 9,794.24, 14,657.52 and 6,044.52 is: 9,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.24 : 14,657.52 = 6,044.52 : x
  2. Step 2: Convert to fraction form
    9,794.24/14,657.52 = 6,044.52/x
  3. Step 3: Cross multiply
    9,794.24x = 14,657.52 × 6,044.52
  4. Step 4: Simplify right side
    9,794.24x = 88,597,672.79
  5. Step 5: Solve for x
    x = 88,597,672.79/9,794.24
  6. Step 6: Final answer
    x = 9,045.90

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