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Finding the Fourth Proportional to 9,206.93, 12,705.59 and 5,015.09

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Solution

The fourth proportional to 9,206.93, 12,705.59 and 5,015.09 is: 6,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.93 : 12,705.59 = 5,015.09 : x
  2. Step 2: Convert to fraction form
    9,206.93/12,705.59 = 5,015.09/x
  3. Step 3: Cross multiply
    9,206.93x = 12,705.59 × 5,015.09
  4. Step 4: Simplify right side
    9,206.93x = 63,719,652.28
  5. Step 5: Solve for x
    x = 63,719,652.28/9,206.93
  6. Step 6: Final answer
    x = 6,920.84

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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.