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Finding the Fourth Proportional to 6,535.08, 9,802.72 and 3,607.02

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Solution

The fourth proportional to 6,535.08, 9,802.72 and 3,607.02 is: 5,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.08 : 9,802.72 = 3,607.02 : x
  2. Step 2: Convert to fraction form
    6,535.08/9,802.72 = 3,607.02/x
  3. Step 3: Cross multiply
    6,535.08x = 9,802.72 × 3,607.02
  4. Step 4: Simplify right side
    6,535.08x = 35,358,607.09
  5. Step 5: Solve for x
    x = 35,358,607.09/6,535.08
  6. Step 6: Final answer
    x = 5,410.59

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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.