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Finding the Fourth Proportional to 9,908.96, 13,649.56 and 7,547

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Solution

The fourth proportional to 9,908.96, 13,649.56 and 7,547 is: 10,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.96 : 13,649.56 = 7,547 : x
  2. Step 2: Convert to fraction form
    9,908.96/13,649.56 = 7,547/x
  3. Step 3: Cross multiply
    9,908.96x = 13,649.56 × 7,547
  4. Step 4: Simplify right side
    9,908.96x = 103,013,229.32
  5. Step 5: Solve for x
    x = 103,013,229.32/9,908.96
  6. Step 6: Final answer
    x = 10,395.97

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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.