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Finding the Fourth Proportional to 9,611.39, 13,263.72 and 5,419.64

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Solution

The fourth proportional to 9,611.39, 13,263.72 and 5,419.64 is: 7,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.39 : 13,263.72 = 5,419.64 : x
  2. Step 2: Convert to fraction form
    9,611.39/13,263.72 = 5,419.64/x
  3. Step 3: Cross multiply
    9,611.39x = 13,263.72 × 5,419.64
  4. Step 4: Simplify right side
    9,611.39x = 71,884,587.46
  5. Step 5: Solve for x
    x = 71,884,587.46/9,611.39
  6. Step 6: Final answer
    x = 7,479.10

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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.