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Finding the Fourth Proportional to 9,611.70, 14,419.04 and 4,065.08

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Solution

The fourth proportional to 9,611.70, 14,419.04 and 4,065.08 is: 6,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.70 : 14,419.04 = 4,065.08 : x
  2. Step 2: Convert to fraction form
    9,611.70/14,419.04 = 4,065.08/x
  3. Step 3: Cross multiply
    9,611.70x = 14,419.04 × 4,065.08
  4. Step 4: Simplify right side
    9,611.70x = 58,614,458.70
  5. Step 5: Solve for x
    x = 58,614,458.70/9,611.70
  6. Step 6: Final answer
    x = 6,098.24

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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.