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Finding the Fourth Proportional to 9,505.68, 13,117.50 and 5,313.84

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Solution

The fourth proportional to 9,505.68, 13,117.50 and 5,313.84 is: 7,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.68 : 13,117.50 = 5,313.84 : x
  2. Step 2: Convert to fraction form
    9,505.68/13,117.50 = 5,313.84/x
  3. Step 3: Cross multiply
    9,505.68x = 13,117.50 × 5,313.84
  4. Step 4: Simplify right side
    9,505.68x = 69,704,296.20
  5. Step 5: Solve for x
    x = 69,704,296.20/9,505.68
  6. Step 6: Final answer
    x = 7,332.91

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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.