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Finding the Fourth Proportional to 6,339.36, 9,492.64 and 5,634.08

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Solution

The fourth proportional to 6,339.36, 9,492.64 and 5,634.08 is: 8,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.36 : 9,492.64 = 5,634.08 : x
  2. Step 2: Convert to fraction form
    6,339.36/9,492.64 = 5,634.08/x
  3. Step 3: Cross multiply
    6,339.36x = 9,492.64 × 5,634.08
  4. Step 4: Simplify right side
    6,339.36x = 53,482,293.17
  5. Step 5: Solve for x
    x = 53,482,293.17/6,339.36
  6. Step 6: Final answer
    x = 8,436.54

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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.