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Finding the Fourth Proportional to 6,245.76, 9,360 and 5,316.48

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Solution

The fourth proportional to 6,245.76, 9,360 and 5,316.48 is: 7,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.76 : 9,360 = 5,316.48 : x
  2. Step 2: Convert to fraction form
    6,245.76/9,360 = 5,316.48/x
  3. Step 3: Cross multiply
    6,245.76x = 9,360 × 5,316.48
  4. Step 4: Simplify right side
    6,245.76x = 49,762,252.80
  5. Step 5: Solve for x
    x = 49,762,252.80/6,245.76
  6. Step 6: Final answer
    x = 7,967.37

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Why These Related Problems?

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