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Finding the Fourth Proportional to 9,836.10, 13,558.02 and 6,648.42

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Solution

The fourth proportional to 9,836.10, 13,558.02 and 6,648.42 is: 9,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.10 : 13,558.02 = 6,648.42 : x
  2. Step 2: Convert to fraction form
    9,836.10/13,558.02 = 6,648.42/x
  3. Step 3: Cross multiply
    9,836.10x = 13,558.02 × 6,648.42
  4. Step 4: Simplify right side
    9,836.10x = 90,139,411.33
  5. Step 5: Solve for x
    x = 90,139,411.33/9,836.10
  6. Step 6: Final answer
    x = 9,164.14

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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.