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Finding the Fourth Proportional to 6,313.78, 8,706.18 and 4,298.50

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Solution

The fourth proportional to 6,313.78, 8,706.18 and 4,298.50 is: 5,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.78 : 8,706.18 = 4,298.50 : x
  2. Step 2: Convert to fraction form
    6,313.78/8,706.18 = 4,298.50/x
  3. Step 3: Cross multiply
    6,313.78x = 8,706.18 × 4,298.50
  4. Step 4: Simplify right side
    6,313.78x = 37,423,514.73
  5. Step 5: Solve for x
    x = 37,423,514.73/6,313.78
  6. Step 6: Final answer
    x = 5,927.28

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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.