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Finding the Fourth Proportional to 9,502.40, 14,264.40 and 5,117.60

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Solution

The fourth proportional to 9,502.40, 14,264.40 and 5,117.60 is: 7,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.40 : 14,264.40 = 5,117.60 : x
  2. Step 2: Convert to fraction form
    9,502.40/14,264.40 = 5,117.60/x
  3. Step 3: Cross multiply
    9,502.40x = 14,264.40 × 5,117.60
  4. Step 4: Simplify right side
    9,502.40x = 72,999,493.44
  5. Step 5: Solve for x
    x = 72,999,493.44/9,502.40
  6. Step 6: Final answer
    x = 7,682.22

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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.