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Finding the Fourth Proportional to 9,503.54, 14,219.67 and 9,003.50

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Solution

The fourth proportional to 9,503.54, 14,219.67 and 9,003.50 is: 13,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.54 : 14,219.67 = 9,003.50 : x
  2. Step 2: Convert to fraction form
    9,503.54/14,219.67 = 9,003.50/x
  3. Step 3: Cross multiply
    9,503.54x = 14,219.67 × 9,003.50
  4. Step 4: Simplify right side
    9,503.54x = 128,026,798.85
  5. Step 5: Solve for x
    x = 128,026,798.85/9,503.54
  6. Step 6: Final answer
    x = 13,471.49

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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.