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Finding the Fourth Proportional to 10,101.84, 13,940.28 and 9,803.76

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Solution

The fourth proportional to 10,101.84, 13,940.28 and 9,803.76 is: 13,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.84 : 13,940.28 = 9,803.76 : x
  2. Step 2: Convert to fraction form
    10,101.84/13,940.28 = 9,803.76/x
  3. Step 3: Cross multiply
    10,101.84x = 13,940.28 × 9,803.76
  4. Step 4: Simplify right side
    10,101.84x = 136,667,159.45
  5. Step 5: Solve for x
    x = 136,667,159.45/10,101.84
  6. Step 6: Final answer
    x = 13,528.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.