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Finding the Fourth Proportional to 9,687.48, 13,372.79 and 6,547.92

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Solution

The fourth proportional to 9,687.48, 13,372.79 and 6,547.92 is: 9,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.48 : 13,372.79 = 6,547.92 : x
  2. Step 2: Convert to fraction form
    9,687.48/13,372.79 = 6,547.92/x
  3. Step 3: Cross multiply
    9,687.48x = 13,372.79 × 6,547.92
  4. Step 4: Simplify right side
    9,687.48x = 87,563,926.36
  5. Step 5: Solve for x
    x = 87,563,926.36/9,687.48
  6. Step 6: Final answer
    x = 9,038.88

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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.