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Finding the Fourth Proportional to 9,716.52, 14,565.53 and 6,196.65

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Solution

The fourth proportional to 9,716.52, 14,565.53 and 6,196.65 is: 9,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.52 : 14,565.53 = 6,196.65 : x
  2. Step 2: Convert to fraction form
    9,716.52/14,565.53 = 6,196.65/x
  3. Step 3: Cross multiply
    9,716.52x = 14,565.53 × 6,196.65
  4. Step 4: Simplify right side
    9,716.52x = 90,257,460.49
  5. Step 5: Solve for x
    x = 90,257,460.49/9,716.52
  6. Step 6: Final answer
    x = 9,289.07

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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.