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Finding the Fourth Proportional to 6,313.99, 9,465.57 and 3,538.39

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Solution

The fourth proportional to 6,313.99, 9,465.57 and 3,538.39 is: 5,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.99 : 9,465.57 = 3,538.39 : x
  2. Step 2: Convert to fraction form
    6,313.99/9,465.57 = 3,538.39/x
  3. Step 3: Cross multiply
    6,313.99x = 9,465.57 × 3,538.39
  4. Step 4: Simplify right side
    6,313.99x = 33,492,878.23
  5. Step 5: Solve for x
    x = 33,492,878.23/6,313.99
  6. Step 6: Final answer
    x = 5,304.55

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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.