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Finding the Fourth Proportional to 9,840.42, 14,763.06 and 2,914.92

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Solution

The fourth proportional to 9,840.42, 14,763.06 and 2,914.92 is: 4,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.42 : 14,763.06 = 2,914.92 : x
  2. Step 2: Convert to fraction form
    9,840.42/14,763.06 = 2,914.92/x
  3. Step 3: Cross multiply
    9,840.42x = 14,763.06 × 2,914.92
  4. Step 4: Simplify right side
    9,840.42x = 43,033,138.86
  5. Step 5: Solve for x
    x = 43,033,138.86/9,840.42
  6. Step 6: Final answer
    x = 4,373.10

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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.