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Finding the Fourth Proportional to 9,368, 14,029.44 and 5,198.12

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Solution

The fourth proportional to 9,368, 14,029.44 and 5,198.12 is: 7,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368 : 14,029.44 = 5,198.12 : x
  2. Step 2: Convert to fraction form
    9,368/14,029.44 = 5,198.12/x
  3. Step 3: Cross multiply
    9,368x = 14,029.44 × 5,198.12
  4. Step 4: Simplify right side
    9,368x = 72,926,712.65
  5. Step 5: Solve for x
    x = 72,926,712.65/9,368
  6. Step 6: Final answer
    x = 7,784.66

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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.