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Finding the Fourth Proportional to 9,919.56, 13,688.88 and 5,727.72

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Solution

The fourth proportional to 9,919.56, 13,688.88 and 5,727.72 is: 7,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.56 : 13,688.88 = 5,727.72 : x
  2. Step 2: Convert to fraction form
    9,919.56/13,688.88 = 5,727.72/x
  3. Step 3: Cross multiply
    9,919.56x = 13,688.88 × 5,727.72
  4. Step 4: Simplify right side
    9,919.56x = 78,406,071.75
  5. Step 5: Solve for x
    x = 78,406,071.75/9,919.56
  6. Step 6: Final answer
    x = 7,904.19

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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.