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Finding the Fourth Proportional to 9,776.67, 14,672.87 and 5,098.11

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Solution

The fourth proportional to 9,776.67, 14,672.87 and 5,098.11 is: 7,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.67 : 14,672.87 = 5,098.11 : x
  2. Step 2: Convert to fraction form
    9,776.67/14,672.87 = 5,098.11/x
  3. Step 3: Cross multiply
    9,776.67x = 14,672.87 × 5,098.11
  4. Step 4: Simplify right side
    9,776.67x = 74,803,905.28
  5. Step 5: Solve for x
    x = 74,803,905.28/9,776.67
  6. Step 6: Final answer
    x = 7,651.27

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Why These Related Problems?

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