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Finding the Fourth Proportional to 9,138.40, 13,707.93 and 4,694.87

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Solution

The fourth proportional to 9,138.40, 13,707.93 and 4,694.87 is: 7,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.40 : 13,707.93 = 4,694.87 : x
  2. Step 2: Convert to fraction form
    9,138.40/13,707.93 = 4,694.87/x
  3. Step 3: Cross multiply
    9,138.40x = 13,707.93 × 4,694.87
  4. Step 4: Simplify right side
    9,138.40x = 64,356,949.32
  5. Step 5: Solve for x
    x = 64,356,949.32/9,138.40
  6. Step 6: Final answer
    x = 7,042.47

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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.