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Finding the Fourth Proportional to 6,607.35, 9,901.49 and 3,646.40

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Solution

The fourth proportional to 6,607.35, 9,901.49 and 3,646.40 is: 5,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.35 : 9,901.49 = 3,646.40 : x
  2. Step 2: Convert to fraction form
    6,607.35/9,901.49 = 3,646.40/x
  3. Step 3: Cross multiply
    6,607.35x = 9,901.49 × 3,646.40
  4. Step 4: Simplify right side
    6,607.35x = 36,104,725.40
  5. Step 5: Solve for x
    x = 36,104,725.40/6,607.35
  6. Step 6: Final answer
    x = 5,464.33

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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.