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Finding the Fourth Proportional to 9,352.96, 14,044 and 8,937.44

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Solution

The fourth proportional to 9,352.96, 14,044 and 8,937.44 is: 13,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.96 : 14,044 = 8,937.44 : x
  2. Step 2: Convert to fraction form
    9,352.96/14,044 = 8,937.44/x
  3. Step 3: Cross multiply
    9,352.96x = 14,044 × 8,937.44
  4. Step 4: Simplify right side
    9,352.96x = 125,517,407.36
  5. Step 5: Solve for x
    x = 125,517,407.36/9,352.96
  6. Step 6: Final answer
    x = 13,420.07

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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.