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Finding the Fourth Proportional to 9,505.12, 13,114.02 and 5,312.56

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Solution

The fourth proportional to 9,505.12, 13,114.02 and 5,312.56 is: 7,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.12 : 13,114.02 = 5,312.56 : x
  2. Step 2: Convert to fraction form
    9,505.12/13,114.02 = 5,312.56/x
  3. Step 3: Cross multiply
    9,505.12x = 13,114.02 × 5,312.56
  4. Step 4: Simplify right side
    9,505.12x = 69,669,018.09
  5. Step 5: Solve for x
    x = 69,669,018.09/9,505.12
  6. Step 6: Final answer
    x = 7,329.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.