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Finding the Fourth Proportional to 9,585.53, 14,379.74 and 3,011.10

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Solution

The fourth proportional to 9,585.53, 14,379.74 and 3,011.10 is: 4,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.53 : 14,379.74 = 3,011.10 : x
  2. Step 2: Convert to fraction form
    9,585.53/14,379.74 = 3,011.10/x
  3. Step 3: Cross multiply
    9,585.53x = 14,379.74 × 3,011.10
  4. Step 4: Simplify right side
    9,585.53x = 43,298,770.74
  5. Step 5: Solve for x
    x = 43,298,770.74/9,585.53
  6. Step 6: Final answer
    x = 4,517.10

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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.