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Finding the Fourth Proportional to 9,803.10, 13,528.41 and 5,326.94

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Solution

The fourth proportional to 9,803.10, 13,528.41 and 5,326.94 is: 7,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.10 : 13,528.41 = 5,326.94 : x
  2. Step 2: Convert to fraction form
    9,803.10/13,528.41 = 5,326.94/x
  3. Step 3: Cross multiply
    9,803.10x = 13,528.41 × 5,326.94
  4. Step 4: Simplify right side
    9,803.10x = 72,064,960.72
  5. Step 5: Solve for x
    x = 72,064,960.72/9,803.10
  6. Step 6: Final answer
    x = 7,351.24

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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.