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Finding the Fourth Proportional to 6,547.06, 9,035.02 and 3,562.83

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Solution

The fourth proportional to 6,547.06, 9,035.02 and 3,562.83 is: 4,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.06 : 9,035.02 = 3,562.83 : x
  2. Step 2: Convert to fraction form
    6,547.06/9,035.02 = 3,562.83/x
  3. Step 3: Cross multiply
    6,547.06x = 9,035.02 × 3,562.83
  4. Step 4: Simplify right side
    6,547.06x = 32,190,231.40
  5. Step 5: Solve for x
    x = 32,190,231.40/6,547.06
  6. Step 6: Final answer
    x = 4,916.75

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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.