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Finding the Fourth Proportional to 6,547.32, 9,035.49 and 3,676.17

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Solution

The fourth proportional to 6,547.32, 9,035.49 and 3,676.17 is: 5,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.32 : 9,035.49 = 3,676.17 : x
  2. Step 2: Convert to fraction form
    6,547.32/9,035.49 = 3,676.17/x
  3. Step 3: Cross multiply
    6,547.32x = 9,035.49 × 3,676.17
  4. Step 4: Simplify right side
    6,547.32x = 33,215,997.27
  5. Step 5: Solve for x
    x = 33,215,997.27/6,547.32
  6. Step 6: Final answer
    x = 5,073.22

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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.