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Finding the Fourth Proportional to 6,529.36, 9,798.92 and 5,246.32

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Solution

The fourth proportional to 6,529.36, 9,798.92 and 5,246.32 is: 7,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.36 : 9,798.92 = 5,246.32 : x
  2. Step 2: Convert to fraction form
    6,529.36/9,798.92 = 5,246.32/x
  3. Step 3: Cross multiply
    6,529.36x = 9,798.92 × 5,246.32
  4. Step 4: Simplify right side
    6,529.36x = 51,408,269.97
  5. Step 5: Solve for x
    x = 51,408,269.97/6,529.36
  6. Step 6: Final answer
    x = 7,873.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.