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Finding the Fourth Proportional to 9,506.01, 14,259.16 and 3,267.59

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Solution

The fourth proportional to 9,506.01, 14,259.16 and 3,267.59 is: 4,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.01 : 14,259.16 = 3,267.59 : x
  2. Step 2: Convert to fraction form
    9,506.01/14,259.16 = 3,267.59/x
  3. Step 3: Cross multiply
    9,506.01x = 14,259.16 × 3,267.59
  4. Step 4: Simplify right side
    9,506.01x = 46,593,110.81
  5. Step 5: Solve for x
    x = 46,593,110.81/9,506.01
  6. Step 6: Final answer
    x = 4,901.44

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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.