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Finding the Fourth Proportional to 6,426.95, 9,630.50 and 4,338.77

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Solution

The fourth proportional to 6,426.95, 9,630.50 and 4,338.77 is: 6,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.95 : 9,630.50 = 4,338.77 : x
  2. Step 2: Convert to fraction form
    6,426.95/9,630.50 = 4,338.77/x
  3. Step 3: Cross multiply
    6,426.95x = 9,630.50 × 4,338.77
  4. Step 4: Simplify right side
    6,426.95x = 41,784,454.64
  5. Step 5: Solve for x
    x = 41,784,454.64/6,426.95
  6. Step 6: Final answer
    x = 6,501.45

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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.