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Finding the Fourth Proportional to 6,535.15, 9,784.09 and 4,339.51

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Solution

The fourth proportional to 6,535.15, 9,784.09 and 4,339.51 is: 6,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.15 : 9,784.09 = 4,339.51 : x
  2. Step 2: Convert to fraction form
    6,535.15/9,784.09 = 4,339.51/x
  3. Step 3: Cross multiply
    6,535.15x = 9,784.09 × 4,339.51
  4. Step 4: Simplify right side
    6,535.15x = 42,458,137.36
  5. Step 5: Solve for x
    x = 42,458,137.36/6,535.15
  6. Step 6: Final answer
    x = 6,496.89

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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.