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Finding the Fourth Proportional to 7,347.46, 10,109.46 and 6,349.54

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Solution

The fourth proportional to 7,347.46, 10,109.46 and 6,349.54 is: 8,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.46 : 10,109.46 = 6,349.54 : x
  2. Step 2: Convert to fraction form
    7,347.46/10,109.46 = 6,349.54/x
  3. Step 3: Cross multiply
    7,347.46x = 10,109.46 × 6,349.54
  4. Step 4: Simplify right side
    7,347.46x = 64,190,420.65
  5. Step 5: Solve for x
    x = 64,190,420.65/7,347.46
  6. Step 6: Final answer
    x = 8,736.41

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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.