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Finding the Fourth Proportional to 9,390.74, 14,084.90 and 4,709.96

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Solution

The fourth proportional to 9,390.74, 14,084.90 and 4,709.96 is: 7,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.74 : 14,084.90 = 4,709.96 : x
  2. Step 2: Convert to fraction form
    9,390.74/14,084.90 = 4,709.96/x
  3. Step 3: Cross multiply
    9,390.74x = 14,084.90 × 4,709.96
  4. Step 4: Simplify right side
    9,390.74x = 66,339,221.63
  5. Step 5: Solve for x
    x = 66,339,221.63/9,390.74
  6. Step 6: Final answer
    x = 7,064.32

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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.