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Finding the Fourth Proportional to 9,347.81, 14,023.13 and 2,773.17

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Solution

The fourth proportional to 9,347.81, 14,023.13 and 2,773.17 is: 4,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.81 : 14,023.13 = 2,773.17 : x
  2. Step 2: Convert to fraction form
    9,347.81/14,023.13 = 2,773.17/x
  3. Step 3: Cross multiply
    9,347.81x = 14,023.13 × 2,773.17
  4. Step 4: Simplify right side
    9,347.81x = 38,888,509.56
  5. Step 5: Solve for x
    x = 38,888,509.56/9,347.81
  6. Step 6: Final answer
    x = 4,160.18

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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.