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Finding the Fourth Proportional to 9,820.84, 13,553.14 and 5,629.88

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Solution

The fourth proportional to 9,820.84, 13,553.14 and 5,629.88 is: 7,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.84 : 13,553.14 = 5,629.88 : x
  2. Step 2: Convert to fraction form
    9,820.84/13,553.14 = 5,629.88/x
  3. Step 3: Cross multiply
    9,820.84x = 13,553.14 × 5,629.88
  4. Step 4: Simplify right side
    9,820.84x = 76,302,551.82
  5. Step 5: Solve for x
    x = 76,302,551.82/9,820.84
  6. Step 6: Final answer
    x = 7,769.45

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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.