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Finding the Fourth Proportional to 9,477.35, 14,223.76 and 6,706.69

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Solution

The fourth proportional to 9,477.35, 14,223.76 and 6,706.69 is: 10,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.35 : 14,223.76 = 6,706.69 : x
  2. Step 2: Convert to fraction form
    9,477.35/14,223.76 = 6,706.69/x
  3. Step 3: Cross multiply
    9,477.35x = 14,223.76 × 6,706.69
  4. Step 4: Simplify right side
    9,477.35x = 95,394,277.84
  5. Step 5: Solve for x
    x = 95,394,277.84/9,477.35
  6. Step 6: Final answer
    x = 10,065.51

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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.