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Finding the Fourth Proportional to 9,041, 13,547.64 and 5,744

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Solution

The fourth proportional to 9,041, 13,547.64 and 5,744 is: 8,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041 : 13,547.64 = 5,744 : x
  2. Step 2: Convert to fraction form
    9,041/13,547.64 = 5,744/x
  3. Step 3: Cross multiply
    9,041x = 13,547.64 × 5,744
  4. Step 4: Simplify right side
    9,041x = 77,817,644.16
  5. Step 5: Solve for x
    x = 77,817,644.16/9,041
  6. Step 6: Final answer
    x = 8,607.19

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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.