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Finding the Fourth Proportional to 9,715.77, 14,564.41 and 6,195.89

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Solution

The fourth proportional to 9,715.77, 14,564.41 and 6,195.89 is: 9,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.77 : 14,564.41 = 6,195.89 : x
  2. Step 2: Convert to fraction form
    9,715.77/14,564.41 = 6,195.89/x
  3. Step 3: Cross multiply
    9,715.77x = 14,564.41 × 6,195.89
  4. Step 4: Simplify right side
    9,715.77x = 90,239,503.20
  5. Step 5: Solve for x
    x = 90,239,503.20/9,715.77
  6. Step 6: Final answer
    x = 9,287.94

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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.