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Finding the Fourth Proportional to 9,068.40, 13,580.73 and 6,137.82

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Solution

The fourth proportional to 9,068.40, 13,580.73 and 6,137.82 is: 9,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.40 : 13,580.73 = 6,137.82 : x
  2. Step 2: Convert to fraction form
    9,068.40/13,580.73 = 6,137.82/x
  3. Step 3: Cross multiply
    9,068.40x = 13,580.73 × 6,137.82
  4. Step 4: Simplify right side
    9,068.40x = 83,356,076.21
  5. Step 5: Solve for x
    x = 83,356,076.21/9,068.40
  6. Step 6: Final answer
    x = 9,191.93

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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.