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Finding the Fourth Proportional to 9,138.06, 13,696.14 and 5,622.45

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Solution

The fourth proportional to 9,138.06, 13,696.14 and 5,622.45 is: 8,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.06 : 13,696.14 = 5,622.45 : x
  2. Step 2: Convert to fraction form
    9,138.06/13,696.14 = 5,622.45/x
  3. Step 3: Cross multiply
    9,138.06x = 13,696.14 × 5,622.45
  4. Step 4: Simplify right side
    9,138.06x = 77,005,862.34
  5. Step 5: Solve for x
    x = 77,005,862.34/9,138.06
  6. Step 6: Final answer
    x = 8,426.94

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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.