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Finding the Fourth Proportional to 9,803.54, 13,528.76 and 5,327.08

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Solution

The fourth proportional to 9,803.54, 13,528.76 and 5,327.08 is: 7,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.54 : 13,528.76 = 5,327.08 : x
  2. Step 2: Convert to fraction form
    9,803.54/13,528.76 = 5,327.08/x
  3. Step 3: Cross multiply
    9,803.54x = 13,528.76 × 5,327.08
  4. Step 4: Simplify right side
    9,803.54x = 72,068,726.36
  5. Step 5: Solve for x
    x = 72,068,726.36/9,803.54
  6. Step 6: Final answer
    x = 7,351.29

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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.