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Finding the Fourth Proportional to 9,165.20, 12,648 and 4,973.46

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Solution

The fourth proportional to 9,165.20, 12,648 and 4,973.46 is: 6,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.20 : 12,648 = 4,973.46 : x
  2. Step 2: Convert to fraction form
    9,165.20/12,648 = 4,973.46/x
  3. Step 3: Cross multiply
    9,165.20x = 12,648 × 4,973.46
  4. Step 4: Simplify right side
    9,165.20x = 62,904,322.08
  5. Step 5: Solve for x
    x = 62,904,322.08/9,165.20
  6. Step 6: Final answer
    x = 6,863.39

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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.