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Finding the Fourth Proportional to 6,547.10, 9,812.61 and 3,032.33

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Solution

The fourth proportional to 6,547.10, 9,812.61 and 3,032.33 is: 4,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.10 : 9,812.61 = 3,032.33 : x
  2. Step 2: Convert to fraction form
    6,547.10/9,812.61 = 3,032.33/x
  3. Step 3: Cross multiply
    6,547.10x = 9,812.61 × 3,032.33
  4. Step 4: Simplify right side
    6,547.10x = 29,755,022.62
  5. Step 5: Solve for x
    x = 29,755,022.62/6,547.10
  6. Step 6: Final answer
    x = 4,544.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.