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Finding the Fourth Proportional to 9,438, 14,163.48 and 3,282

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Solution

The fourth proportional to 9,438, 14,163.48 and 3,282 is: 4,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 14,163.48 = 3,282 : x
  2. Step 2: Convert to fraction form
    9,438/14,163.48 = 3,282/x
  3. Step 3: Cross multiply
    9,438x = 14,163.48 × 3,282
  4. Step 4: Simplify right side
    9,438x = 46,484,541.36
  5. Step 5: Solve for x
    x = 46,484,541.36/9,438
  6. Step 6: Final answer
    x = 4,925.25

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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.