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Finding the Fourth Proportional to 6,927.42, 10,428.15 and 6,213

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Solution

The fourth proportional to 6,927.42, 10,428.15 and 6,213 is: 9,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.42 : 10,428.15 = 6,213 : x
  2. Step 2: Convert to fraction form
    6,927.42/10,428.15 = 6,213/x
  3. Step 3: Cross multiply
    6,927.42x = 10,428.15 × 6,213
  4. Step 4: Simplify right side
    6,927.42x = 64,790,095.95
  5. Step 5: Solve for x
    x = 64,790,095.95/6,927.42
  6. Step 6: Final answer
    x = 9,352.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.