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Finding the Fourth Proportional to 9,870.94, 13,626.62 and 5,838.45

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Solution

The fourth proportional to 9,870.94, 13,626.62 and 5,838.45 is: 8,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.94 : 13,626.62 = 5,838.45 : x
  2. Step 2: Convert to fraction form
    9,870.94/13,626.62 = 5,838.45/x
  3. Step 3: Cross multiply
    9,870.94x = 13,626.62 × 5,838.45
  4. Step 4: Simplify right side
    9,870.94x = 79,558,339.54
  5. Step 5: Solve for x
    x = 79,558,339.54/9,870.94
  6. Step 6: Final answer
    x = 8,059.85

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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.