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Finding the Fourth Proportional to 6,547.12, 9,034.82 and 3,562.88

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Solution

The fourth proportional to 6,547.12, 9,034.82 and 3,562.88 is: 4,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.12 : 9,034.82 = 3,562.88 : x
  2. Step 2: Convert to fraction form
    6,547.12/9,034.82 = 3,562.88/x
  3. Step 3: Cross multiply
    6,547.12x = 9,034.82 × 3,562.88
  4. Step 4: Simplify right side
    6,547.12x = 32,189,916.49
  5. Step 5: Solve for x
    x = 32,189,916.49/6,547.12
  6. Step 6: Final answer
    x = 4,916.65

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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.