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Finding the Fourth Proportional to 6,319.20, 9,479.76 and 3,031.68

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Solution

The fourth proportional to 6,319.20, 9,479.76 and 3,031.68 is: 4,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.20 : 9,479.76 = 3,031.68 : x
  2. Step 2: Convert to fraction form
    6,319.20/9,479.76 = 3,031.68/x
  3. Step 3: Cross multiply
    6,319.20x = 9,479.76 × 3,031.68
  4. Step 4: Simplify right side
    6,319.20x = 28,739,598.80
  5. Step 5: Solve for x
    x = 28,739,598.80/6,319.20
  6. Step 6: Final answer
    x = 4,547.98

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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.