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Finding the Fourth Proportional to 9,497.91, 13,106.52 and 5,248.86

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Solution

The fourth proportional to 9,497.91, 13,106.52 and 5,248.86 is: 7,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.91 : 13,106.52 = 5,248.86 : x
  2. Step 2: Convert to fraction form
    9,497.91/13,106.52 = 5,248.86/x
  3. Step 3: Cross multiply
    9,497.91x = 13,106.52 × 5,248.86
  4. Step 4: Simplify right side
    9,497.91x = 68,794,288.57
  5. Step 5: Solve for x
    x = 68,794,288.57/9,497.91
  6. Step 6: Final answer
    x = 7,243.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.