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Finding the Fourth Proportional to 10,490.82, 14,486.08 and 6,969.76

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Solution

The fourth proportional to 10,490.82, 14,486.08 and 6,969.76 is: 9,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.82 : 14,486.08 = 6,969.76 : x
  2. Step 2: Convert to fraction form
    10,490.82/14,486.08 = 6,969.76/x
  3. Step 3: Cross multiply
    10,490.82x = 14,486.08 × 6,969.76
  4. Step 4: Simplify right side
    10,490.82x = 100,964,500.94
  5. Step 5: Solve for x
    x = 100,964,500.94/10,490.82
  6. Step 6: Final answer
    x = 9,624.08

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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.