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Finding the Fourth Proportional to 9,883.52, 13,642.44 and 6,529.31

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Solution

The fourth proportional to 9,883.52, 13,642.44 and 6,529.31 is: 9,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.52 : 13,642.44 = 6,529.31 : x
  2. Step 2: Convert to fraction form
    9,883.52/13,642.44 = 6,529.31/x
  3. Step 3: Cross multiply
    9,883.52x = 13,642.44 × 6,529.31
  4. Step 4: Simplify right side
    9,883.52x = 89,075,754.02
  5. Step 5: Solve for x
    x = 89,075,754.02/9,883.52
  6. Step 6: Final answer
    x = 9,012.55

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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.