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Finding the Fourth Proportional to 9,801.80, 13,526.25 and 5,325.45

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Solution

The fourth proportional to 9,801.80, 13,526.25 and 5,325.45 is: 7,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.80 : 13,526.25 = 5,325.45 : x
  2. Step 2: Convert to fraction form
    9,801.80/13,526.25 = 5,325.45/x
  3. Step 3: Cross multiply
    9,801.80x = 13,526.25 × 5,325.45
  4. Step 4: Simplify right side
    9,801.80x = 72,033,368.06
  5. Step 5: Solve for x
    x = 72,033,368.06/9,801.80
  6. Step 6: Final answer
    x = 7,348.99

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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.