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Finding the Fourth Proportional to 6,827.68, 9,424.56 and 4,033

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Solution

The fourth proportional to 6,827.68, 9,424.56 and 4,033 is: 5,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.68 : 9,424.56 = 4,033 : x
  2. Step 2: Convert to fraction form
    6,827.68/9,424.56 = 4,033/x
  3. Step 3: Cross multiply
    6,827.68x = 9,424.56 × 4,033
  4. Step 4: Simplify right side
    6,827.68x = 38,009,250.48
  5. Step 5: Solve for x
    x = 38,009,250.48/6,827.68
  6. Step 6: Final answer
    x = 5,566.93

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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.