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Finding the Fourth Proportional to 9,197.09, 13,784.27 and 5,251.65

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Solution

The fourth proportional to 9,197.09, 13,784.27 and 5,251.65 is: 7,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.09 : 13,784.27 = 5,251.65 : x
  2. Step 2: Convert to fraction form
    9,197.09/13,784.27 = 5,251.65/x
  3. Step 3: Cross multiply
    9,197.09x = 13,784.27 × 5,251.65
  4. Step 4: Simplify right side
    9,197.09x = 72,390,135.29
  5. Step 5: Solve for x
    x = 72,390,135.29/9,197.09
  6. Step 6: Final answer
    x = 7,870.98

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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.