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Finding the Fourth Proportional to 9,982.33, 13,775.35 and 5,506

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Solution

The fourth proportional to 9,982.33, 13,775.35 and 5,506 is: 7,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.33 : 13,775.35 = 5,506 : x
  2. Step 2: Convert to fraction form
    9,982.33/13,775.35 = 5,506/x
  3. Step 3: Cross multiply
    9,982.33x = 13,775.35 × 5,506
  4. Step 4: Simplify right side
    9,982.33x = 75,847,077.10
  5. Step 5: Solve for x
    x = 75,847,077.10/9,982.33
  6. Step 6: Final answer
    x = 7,598.13

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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.