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Finding the Fourth Proportional to 6,547.92, 9,779.34 and 5,673.12

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Solution

The fourth proportional to 6,547.92, 9,779.34 and 5,673.12 is: 8,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.92 : 9,779.34 = 5,673.12 : x
  2. Step 2: Convert to fraction form
    6,547.92/9,779.34 = 5,673.12/x
  3. Step 3: Cross multiply
    6,547.92x = 9,779.34 × 5,673.12
  4. Step 4: Simplify right side
    6,547.92x = 55,479,369.34
  5. Step 5: Solve for x
    x = 55,479,369.34/6,547.92
  6. Step 6: Final answer
    x = 8,472.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.