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Finding the Fourth Proportional to 6,316.30, 9,468.13 and 5,209.14

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Solution

The fourth proportional to 6,316.30, 9,468.13 and 5,209.14 is: 7,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.30 : 9,468.13 = 5,209.14 : x
  2. Step 2: Convert to fraction form
    6,316.30/9,468.13 = 5,209.14/x
  3. Step 3: Cross multiply
    6,316.30x = 9,468.13 × 5,209.14
  4. Step 4: Simplify right side
    6,316.30x = 49,320,814.71
  5. Step 5: Solve for x
    x = 49,320,814.71/6,316.30
  6. Step 6: Final answer
    x = 7,808.50

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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.