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Finding the Fourth Proportional to 9,714.62, 14,573.40 and 3,870.92

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Solution

The fourth proportional to 9,714.62, 14,573.40 and 3,870.92 is: 5,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.62 : 14,573.40 = 3,870.92 : x
  2. Step 2: Convert to fraction form
    9,714.62/14,573.40 = 3,870.92/x
  3. Step 3: Cross multiply
    9,714.62x = 14,573.40 × 3,870.92
  4. Step 4: Simplify right side
    9,714.62x = 56,412,465.53
  5. Step 5: Solve for x
    x = 56,412,465.53/9,714.62
  6. Step 6: Final answer
    x = 5,806.97

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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.