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Finding the Fourth Proportional to 6,317.94, 9,478.94 and 3,031.26

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Solution

The fourth proportional to 6,317.94, 9,478.94 and 3,031.26 is: 4,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.94 : 9,478.94 = 3,031.26 : x
  2. Step 2: Convert to fraction form
    6,317.94/9,478.94 = 3,031.26/x
  3. Step 3: Cross multiply
    6,317.94x = 9,478.94 × 3,031.26
  4. Step 4: Simplify right side
    6,317.94x = 28,733,131.66
  5. Step 5: Solve for x
    x = 28,733,131.66/6,317.94
  6. Step 6: Final answer
    x = 4,547.86

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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.