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Finding the Fourth Proportional to 9,611.51, 14,419.17 and 4,064.81

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Solution

The fourth proportional to 9,611.51, 14,419.17 and 4,064.81 is: 6,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.51 : 14,419.17 = 4,064.81 : x
  2. Step 2: Convert to fraction form
    9,611.51/14,419.17 = 4,064.81/x
  3. Step 3: Cross multiply
    9,611.51x = 14,419.17 × 4,064.81
  4. Step 4: Simplify right side
    9,611.51x = 58,611,114.31
  5. Step 5: Solve for x
    x = 58,611,114.31/9,611.51
  6. Step 6: Final answer
    x = 6,098.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.