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Finding the Fourth Proportional to 6,312.65, 9,470.37 and 1,930.46

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Solution

The fourth proportional to 6,312.65, 9,470.37 and 1,930.46 is: 2,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.65 : 9,470.37 = 1,930.46 : x
  2. Step 2: Convert to fraction form
    6,312.65/9,470.37 = 1,930.46/x
  3. Step 3: Cross multiply
    6,312.65x = 9,470.37 × 1,930.46
  4. Step 4: Simplify right side
    6,312.65x = 18,282,123.12
  5. Step 5: Solve for x
    x = 18,282,123.12/6,312.65
  6. Step 6: Final answer
    x = 2,896.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.