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Finding the Fourth Proportional to 9,490.12, 14,237.18 and 2,916.68

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Solution

The fourth proportional to 9,490.12, 14,237.18 and 2,916.68 is: 4,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.12 : 14,237.18 = 2,916.68 : x
  2. Step 2: Convert to fraction form
    9,490.12/14,237.18 = 2,916.68/x
  3. Step 3: Cross multiply
    9,490.12x = 14,237.18 × 2,916.68
  4. Step 4: Simplify right side
    9,490.12x = 41,525,298.16
  5. Step 5: Solve for x
    x = 41,525,298.16/9,490.12
  6. Step 6: Final answer
    x = 4,375.63

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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.