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Finding the Fourth Proportional to 9,584.96, 14,378.14 and 3,011.06

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Solution

The fourth proportional to 9,584.96, 14,378.14 and 3,011.06 is: 4,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.96 : 14,378.14 = 3,011.06 : x
  2. Step 2: Convert to fraction form
    9,584.96/14,378.14 = 3,011.06/x
  3. Step 3: Cross multiply
    9,584.96x = 14,378.14 × 3,011.06
  4. Step 4: Simplify right side
    9,584.96x = 43,293,442.23
  5. Step 5: Solve for x
    x = 43,293,442.23/9,584.96
  6. Step 6: Final answer
    x = 4,516.81

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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.