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Finding the Fourth Proportional to 9,961.91, 13,746.93 and 5,486.05

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Solution

The fourth proportional to 9,961.91, 13,746.93 and 5,486.05 is: 7,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.91 : 13,746.93 = 5,486.05 : x
  2. Step 2: Convert to fraction form
    9,961.91/13,746.93 = 5,486.05/x
  3. Step 3: Cross multiply
    9,961.91x = 13,746.93 × 5,486.05
  4. Step 4: Simplify right side
    9,961.91x = 75,416,345.33
  5. Step 5: Solve for x
    x = 75,416,345.33/9,961.91
  6. Step 6: Final answer
    x = 7,570.47

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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.