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Finding the Fourth Proportional to 9,585.53, 14,377.14 and 2,566.09

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Solution

The fourth proportional to 9,585.53, 14,377.14 and 2,566.09 is: 3,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.53 : 14,377.14 = 2,566.09 : x
  2. Step 2: Convert to fraction form
    9,585.53/14,377.14 = 2,566.09/x
  3. Step 3: Cross multiply
    9,585.53x = 14,377.14 × 2,566.09
  4. Step 4: Simplify right side
    9,585.53x = 36,892,988.71
  5. Step 5: Solve for x
    x = 36,892,988.71/9,585.53
  6. Step 6: Final answer
    x = 3,848.82

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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.