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Finding the Fourth Proportional to 9,303, 13,954.50 and 2,377.56

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Solution

The fourth proportional to 9,303, 13,954.50 and 2,377.56 is: 3,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303 : 13,954.50 = 2,377.56 : x
  2. Step 2: Convert to fraction form
    9,303/13,954.50 = 2,377.56/x
  3. Step 3: Cross multiply
    9,303x = 13,954.50 × 2,377.56
  4. Step 4: Simplify right side
    9,303x = 33,177,661.02
  5. Step 5: Solve for x
    x = 33,177,661.02/9,303
  6. Step 6: Final answer
    x = 3,566.34

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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.