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Finding the Fourth Proportional to 6,531.36, 9,794.40 and 3,066.24

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Solution

The fourth proportional to 6,531.36, 9,794.40 and 3,066.24 is: 4,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.36 : 9,794.40 = 3,066.24 : x
  2. Step 2: Convert to fraction form
    6,531.36/9,794.40 = 3,066.24/x
  3. Step 3: Cross multiply
    6,531.36x = 9,794.40 × 3,066.24
  4. Step 4: Simplify right side
    6,531.36x = 30,031,981.06
  5. Step 5: Solve for x
    x = 30,031,981.06/6,531.36
  6. Step 6: Final answer
    x = 4,598.12

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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.