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Finding the Fourth Proportional to 9,585.65, 14,379.93 and 3,011.22

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Solution

The fourth proportional to 9,585.65, 14,379.93 and 3,011.22 is: 4,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.65 : 14,379.93 = 3,011.22 : x
  2. Step 2: Convert to fraction form
    9,585.65/14,379.93 = 3,011.22/x
  3. Step 3: Cross multiply
    9,585.65x = 14,379.93 × 3,011.22
  4. Step 4: Simplify right side
    9,585.65x = 43,301,132.81
  5. Step 5: Solve for x
    x = 43,301,132.81/9,585.65
  6. Step 6: Final answer
    x = 4,517.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.