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Finding the Fourth Proportional to 9,486.72, 13,087.86 and 5,948.64

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Solution

The fourth proportional to 9,486.72, 13,087.86 and 5,948.64 is: 8,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.72 : 13,087.86 = 5,948.64 : x
  2. Step 2: Convert to fraction form
    9,486.72/13,087.86 = 5,948.64/x
  3. Step 3: Cross multiply
    9,486.72x = 13,087.86 × 5,948.64
  4. Step 4: Simplify right side
    9,486.72x = 77,854,967.51
  5. Step 5: Solve for x
    x = 77,854,967.51/9,486.72
  6. Step 6: Final answer
    x = 8,206.73

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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.