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Finding the Fourth Proportional to 9,813.43, 13,540.60 and 5,506.66

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Solution

The fourth proportional to 9,813.43, 13,540.60 and 5,506.66 is: 7,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.43 : 13,540.60 = 5,506.66 : x
  2. Step 2: Convert to fraction form
    9,813.43/13,540.60 = 5,506.66/x
  3. Step 3: Cross multiply
    9,813.43x = 13,540.60 × 5,506.66
  4. Step 4: Simplify right side
    9,813.43x = 74,563,480.40
  5. Step 5: Solve for x
    x = 74,563,480.40/9,813.43
  6. Step 6: Final answer
    x = 7,598.11

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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.