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Finding the Fourth Proportional to 9,626.14, 13,284.96 and 5,848.43

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Solution

The fourth proportional to 9,626.14, 13,284.96 and 5,848.43 is: 8,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.14 : 13,284.96 = 5,848.43 : x
  2. Step 2: Convert to fraction form
    9,626.14/13,284.96 = 5,848.43/x
  3. Step 3: Cross multiply
    9,626.14x = 13,284.96 × 5,848.43
  4. Step 4: Simplify right side
    9,626.14x = 77,696,158.61
  5. Step 5: Solve for x
    x = 77,696,158.61/9,626.14
  6. Step 6: Final answer
    x = 8,071.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.