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Finding the Fourth Proportional to 9,507.36, 14,253.04 and 4,311.84

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Solution

The fourth proportional to 9,507.36, 14,253.04 and 4,311.84 is: 6,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.36 : 14,253.04 = 4,311.84 : x
  2. Step 2: Convert to fraction form
    9,507.36/14,253.04 = 4,311.84/x
  3. Step 3: Cross multiply
    9,507.36x = 14,253.04 × 4,311.84
  4. Step 4: Simplify right side
    9,507.36x = 61,456,827.99
  5. Step 5: Solve for x
    x = 61,456,827.99/9,507.36
  6. Step 6: Final answer
    x = 6,464.13

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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.