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Finding the Fourth Proportional to 9,052.68, 13,574.94 and 3,207.96

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Solution

The fourth proportional to 9,052.68, 13,574.94 and 3,207.96 is: 4,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.68 : 13,574.94 = 3,207.96 : x
  2. Step 2: Convert to fraction form
    9,052.68/13,574.94 = 3,207.96/x
  3. Step 3: Cross multiply
    9,052.68x = 13,574.94 × 3,207.96
  4. Step 4: Simplify right side
    9,052.68x = 43,547,864.52
  5. Step 5: Solve for x
    x = 43,547,864.52/9,052.68
  6. Step 6: Final answer
    x = 4,810.49

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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.