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Finding the Fourth Proportional to 9,647.84, 14,468.08 and 3,406.69

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Solution

The fourth proportional to 9,647.84, 14,468.08 and 3,406.69 is: 5,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.84 : 14,468.08 = 3,406.69 : x
  2. Step 2: Convert to fraction form
    9,647.84/14,468.08 = 3,406.69/x
  3. Step 3: Cross multiply
    9,647.84x = 14,468.08 × 3,406.69
  4. Step 4: Simplify right side
    9,647.84x = 49,288,263.46
  5. Step 5: Solve for x
    x = 49,288,263.46/9,647.84
  6. Step 6: Final answer
    x = 5,108.74

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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.