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Finding the Fourth Proportional to 9,596.64, 14,390.04 and 4,398

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Solution

The fourth proportional to 9,596.64, 14,390.04 and 4,398 is: 6,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.64 : 14,390.04 = 4,398 : x
  2. Step 2: Convert to fraction form
    9,596.64/14,390.04 = 4,398/x
  3. Step 3: Cross multiply
    9,596.64x = 14,390.04 × 4,398
  4. Step 4: Simplify right side
    9,596.64x = 63,287,395.92
  5. Step 5: Solve for x
    x = 63,287,395.92/9,596.64
  6. Step 6: Final answer
    x = 6,594.75

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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.