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Finding the Fourth Proportional to 9,375, 14,060.94 and 4,690.04

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Solution

The fourth proportional to 9,375, 14,060.94 and 4,690.04 is: 7,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375 : 14,060.94 = 4,690.04 : x
  2. Step 2: Convert to fraction form
    9,375/14,060.94 = 4,690.04/x
  3. Step 3: Cross multiply
    9,375x = 14,060.94 × 4,690.04
  4. Step 4: Simplify right side
    9,375x = 65,946,371.04
  5. Step 5: Solve for x
    x = 65,946,371.04/9,375
  6. Step 6: Final answer
    x = 7,034.28

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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.