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Finding the Fourth Proportional to 8,934.29, 12,331.22 and 5,703.47

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Solution

The fourth proportional to 8,934.29, 12,331.22 and 5,703.47 is: 7,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.29 : 12,331.22 = 5,703.47 : x
  2. Step 2: Convert to fraction form
    8,934.29/12,331.22 = 5,703.47/x
  3. Step 3: Cross multiply
    8,934.29x = 12,331.22 × 5,703.47
  4. Step 4: Simplify right side
    8,934.29x = 70,330,714.82
  5. Step 5: Solve for x
    x = 70,330,714.82/8,934.29
  6. Step 6: Final answer
    x = 7,872.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.