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Finding the Fourth Proportional to 9,159.40, 13,739.13 and 3,313.66

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Solution

The fourth proportional to 9,159.40, 13,739.13 and 3,313.66 is: 4,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.40 : 13,739.13 = 3,313.66 : x
  2. Step 2: Convert to fraction form
    9,159.40/13,739.13 = 3,313.66/x
  3. Step 3: Cross multiply
    9,159.40x = 13,739.13 × 3,313.66
  4. Step 4: Simplify right side
    9,159.40x = 45,526,805.52
  5. Step 5: Solve for x
    x = 45,526,805.52/9,159.40
  6. Step 6: Final answer
    x = 4,970.50

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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.