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Finding the Fourth Proportional to 9,338.76, 14,010.98 and 3,415.50

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Solution

The fourth proportional to 9,338.76, 14,010.98 and 3,415.50 is: 5,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.76 : 14,010.98 = 3,415.50 : x
  2. Step 2: Convert to fraction form
    9,338.76/14,010.98 = 3,415.50/x
  3. Step 3: Cross multiply
    9,338.76x = 14,010.98 × 3,415.50
  4. Step 4: Simplify right side
    9,338.76x = 47,854,485.11
  5. Step 5: Solve for x
    x = 47,854,485.11/9,338.76
  6. Step 6: Final answer
    x = 5,124.29

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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.