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Finding the Fourth Proportional to 9,313.64, 13,970.45 and 2,739.82

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Solution

The fourth proportional to 9,313.64, 13,970.45 and 2,739.82 is: 4,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.64 : 13,970.45 = 2,739.82 : x
  2. Step 2: Convert to fraction form
    9,313.64/13,970.45 = 2,739.82/x
  3. Step 3: Cross multiply
    9,313.64x = 13,970.45 × 2,739.82
  4. Step 4: Simplify right side
    9,313.64x = 38,276,525.17
  5. Step 5: Solve for x
    x = 38,276,525.17/9,313.64
  6. Step 6: Final answer
    x = 4,109.73

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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.