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Finding the Fourth Proportional to 9,507.16, 14,236.44 and 5,614.30

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Solution

The fourth proportional to 9,507.16, 14,236.44 and 5,614.30 is: 8,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.16 : 14,236.44 = 5,614.30 : x
  2. Step 2: Convert to fraction form
    9,507.16/14,236.44 = 5,614.30/x
  3. Step 3: Cross multiply
    9,507.16x = 14,236.44 × 5,614.30
  4. Step 4: Simplify right side
    9,507.16x = 79,927,645.09
  5. Step 5: Solve for x
    x = 79,927,645.09/9,507.16
  6. Step 6: Final answer
    x = 8,407.10

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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.