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Finding the Fourth Proportional to 9,184.30, 12,674.45 and 5,407.47

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Solution

The fourth proportional to 9,184.30, 12,674.45 and 5,407.47 is: 7,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.30 : 12,674.45 = 5,407.47 : x
  2. Step 2: Convert to fraction form
    9,184.30/12,674.45 = 5,407.47/x
  3. Step 3: Cross multiply
    9,184.30x = 12,674.45 × 5,407.47
  4. Step 4: Simplify right side
    9,184.30x = 68,536,708.14
  5. Step 5: Solve for x
    x = 68,536,708.14/9,184.30
  6. Step 6: Final answer
    x = 7,462.38

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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.