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Finding the Fourth Proportional to 6,890.50, 9,533.91 and 6,008.14

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Solution

The fourth proportional to 6,890.50, 9,533.91 and 6,008.14 is: 8,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.50 : 9,533.91 = 6,008.14 : x
  2. Step 2: Convert to fraction form
    6,890.50/9,533.91 = 6,008.14/x
  3. Step 3: Cross multiply
    6,890.50x = 9,533.91 × 6,008.14
  4. Step 4: Simplify right side
    6,890.50x = 57,281,066.03
  5. Step 5: Solve for x
    x = 57,281,066.03/6,890.50
  6. Step 6: Final answer
    x = 8,313.05

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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.