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Finding the Fourth Proportional to 9,714.95, 14,574.33 and 3,872.15

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Solution

The fourth proportional to 9,714.95, 14,574.33 and 3,872.15 is: 5,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.95 : 14,574.33 = 3,872.15 : x
  2. Step 2: Convert to fraction form
    9,714.95/14,574.33 = 3,872.15/x
  3. Step 3: Cross multiply
    9,714.95x = 14,574.33 × 3,872.15
  4. Step 4: Simplify right side
    9,714.95x = 56,433,991.91
  5. Step 5: Solve for x
    x = 56,433,991.91/9,714.95
  6. Step 6: Final answer
    x = 5,808.98

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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.