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Finding the Fourth Proportional to 9,801.88, 13,526.19 and 5,325.48

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Solution

The fourth proportional to 9,801.88, 13,526.19 and 5,325.48 is: 7,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.88 : 13,526.19 = 5,325.48 : x
  2. Step 2: Convert to fraction form
    9,801.88/13,526.19 = 5,325.48/x
  3. Step 3: Cross multiply
    9,801.88x = 13,526.19 × 5,325.48
  4. Step 4: Simplify right side
    9,801.88x = 72,033,454.32
  5. Step 5: Solve for x
    x = 72,033,454.32/9,801.88
  6. Step 6: Final answer
    x = 7,348.94

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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.