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Finding the Fourth Proportional to 6,966.50, 9,618.27 and 4,316.72

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Solution

The fourth proportional to 6,966.50, 9,618.27 and 4,316.72 is: 5,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.50 : 9,618.27 = 4,316.72 : x
  2. Step 2: Convert to fraction form
    6,966.50/9,618.27 = 4,316.72/x
  3. Step 3: Cross multiply
    6,966.50x = 9,618.27 × 4,316.72
  4. Step 4: Simplify right side
    6,966.50x = 41,519,374.55
  5. Step 5: Solve for x
    x = 41,519,374.55/6,966.50
  6. Step 6: Final answer
    x = 5,959.86

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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.