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Finding the Fourth Proportional to 9,126.04, 12,594 and 5,349.31

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Solution

The fourth proportional to 9,126.04, 12,594 and 5,349.31 is: 7,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.04 : 12,594 = 5,349.31 : x
  2. Step 2: Convert to fraction form
    9,126.04/12,594 = 5,349.31/x
  3. Step 3: Cross multiply
    9,126.04x = 12,594 × 5,349.31
  4. Step 4: Simplify right side
    9,126.04x = 67,369,210.14
  5. Step 5: Solve for x
    x = 67,369,210.14/9,126.04
  6. Step 6: Final answer
    x = 7,382.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.