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Finding the Fourth Proportional to 6,836.76, 9,429.36 and 4,948.62

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Solution

The fourth proportional to 6,836.76, 9,429.36 and 4,948.62 is: 6,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.76 : 9,429.36 = 4,948.62 : x
  2. Step 2: Convert to fraction form
    6,836.76/9,429.36 = 4,948.62/x
  3. Step 3: Cross multiply
    6,836.76x = 9,429.36 × 4,948.62
  4. Step 4: Simplify right side
    6,836.76x = 46,662,319.48
  5. Step 5: Solve for x
    x = 46,662,319.48/6,836.76
  6. Step 6: Final answer
    x = 6,825.21

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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.