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Finding the Fourth Proportional to 9,813.42, 13,542.12 and 5,337.06

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Solution

The fourth proportional to 9,813.42, 13,542.12 and 5,337.06 is: 7,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.42 : 13,542.12 = 5,337.06 : x
  2. Step 2: Convert to fraction form
    9,813.42/13,542.12 = 5,337.06/x
  3. Step 3: Cross multiply
    9,813.42x = 13,542.12 × 5,337.06
  4. Step 4: Simplify right side
    9,813.42x = 72,275,106.97
  5. Step 5: Solve for x
    x = 72,275,106.97/9,813.42
  6. Step 6: Final answer
    x = 7,364.93

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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.