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Finding the Fourth Proportional to 9,679.45, 14,518.37 and 6,856.62

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Solution

The fourth proportional to 9,679.45, 14,518.37 and 6,856.62 is: 10,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.45 : 14,518.37 = 6,856.62 : x
  2. Step 2: Convert to fraction form
    9,679.45/14,518.37 = 6,856.62/x
  3. Step 3: Cross multiply
    9,679.45x = 14,518.37 × 6,856.62
  4. Step 4: Simplify right side
    9,679.45x = 99,547,017.69
  5. Step 5: Solve for x
    x = 99,547,017.69/9,679.45
  6. Step 6: Final answer
    x = 10,284.37

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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.