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Finding the Fourth Proportional to 9,804.42, 13,529.91 and 5,328.09

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Solution

The fourth proportional to 9,804.42, 13,529.91 and 5,328.09 is: 7,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.42 : 13,529.91 = 5,328.09 : x
  2. Step 2: Convert to fraction form
    9,804.42/13,529.91 = 5,328.09/x
  3. Step 3: Cross multiply
    9,804.42x = 13,529.91 × 5,328.09
  4. Step 4: Simplify right side
    9,804.42x = 72,088,578.17
  5. Step 5: Solve for x
    x = 72,088,578.17/9,804.42
  6. Step 6: Final answer
    x = 7,352.66

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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.