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Finding the Fourth Proportional to 9,679.58, 13,362.50 and 6,491.70

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Solution

The fourth proportional to 9,679.58, 13,362.50 and 6,491.70 is: 8,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.58 : 13,362.50 = 6,491.70 : x
  2. Step 2: Convert to fraction form
    9,679.58/13,362.50 = 6,491.70/x
  3. Step 3: Cross multiply
    9,679.58x = 13,362.50 × 6,491.70
  4. Step 4: Simplify right side
    9,679.58x = 86,745,341.25
  5. Step 5: Solve for x
    x = 86,745,341.25/9,679.58
  6. Step 6: Final answer
    x = 8,961.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.