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Finding the Fourth Proportional to 6,192.74, 8,547.62 and 3,833.54

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Solution

The fourth proportional to 6,192.74, 8,547.62 and 3,833.54 is: 5,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.74 : 8,547.62 = 3,833.54 : x
  2. Step 2: Convert to fraction form
    6,192.74/8,547.62 = 3,833.54/x
  3. Step 3: Cross multiply
    6,192.74x = 8,547.62 × 3,833.54
  4. Step 4: Simplify right side
    6,192.74x = 32,767,643.17
  5. Step 5: Solve for x
    x = 32,767,643.17/6,192.74
  6. Step 6: Final answer
    x = 5,291.30

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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.