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Finding the Fourth Proportional to 9,494.30, 14,242.80 and 2,918.72

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Solution

The fourth proportional to 9,494.30, 14,242.80 and 2,918.72 is: 4,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.30 : 14,242.80 = 2,918.72 : x
  2. Step 2: Convert to fraction form
    9,494.30/14,242.80 = 2,918.72/x
  3. Step 3: Cross multiply
    9,494.30x = 14,242.80 × 2,918.72
  4. Step 4: Simplify right side
    9,494.30x = 41,570,745.22
  5. Step 5: Solve for x
    x = 41,570,745.22/9,494.30
  6. Step 6: Final answer
    x = 4,378.50

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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.