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Finding the Fourth Proportional to 10,298.53, 14,209.59 and 6,947.56

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Solution

The fourth proportional to 10,298.53, 14,209.59 and 6,947.56 is: 9,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.53 : 14,209.59 = 6,947.56 : x
  2. Step 2: Convert to fraction form
    10,298.53/14,209.59 = 6,947.56/x
  3. Step 3: Cross multiply
    10,298.53x = 14,209.59 × 6,947.56
  4. Step 4: Simplify right side
    10,298.53x = 98,721,979.10
  5. Step 5: Solve for x
    x = 98,721,979.10/10,298.53
  6. Step 6: Final answer
    x = 9,586.03

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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.