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Finding the Fourth Proportional to 6,340.08, 9,465.63 and 5,718

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Solution

The fourth proportional to 6,340.08, 9,465.63 and 5,718 is: 8,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.08 : 9,465.63 = 5,718 : x
  2. Step 2: Convert to fraction form
    6,340.08/9,465.63 = 5,718/x
  3. Step 3: Cross multiply
    6,340.08x = 9,465.63 × 5,718
  4. Step 4: Simplify right side
    6,340.08x = 54,124,472.34
  5. Step 5: Solve for x
    x = 54,124,472.34/6,340.08
  6. Step 6: Final answer
    x = 8,536.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.