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Finding the Fourth Proportional to 9,774.84, 14,665.50 and 6,500.82

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Solution

The fourth proportional to 9,774.84, 14,665.50 and 6,500.82 is: 9,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.84 : 14,665.50 = 6,500.82 : x
  2. Step 2: Convert to fraction form
    9,774.84/14,665.50 = 6,500.82/x
  3. Step 3: Cross multiply
    9,774.84x = 14,665.50 × 6,500.82
  4. Step 4: Simplify right side
    9,774.84x = 95,337,775.71
  5. Step 5: Solve for x
    x = 95,337,775.71/9,774.84
  6. Step 6: Final answer
    x = 9,753.38

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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.