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Finding the Fourth Proportional to 9,706.58, 14,558.46 and 4,774.90

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Solution

The fourth proportional to 9,706.58, 14,558.46 and 4,774.90 is: 7,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.58 : 14,558.46 = 4,774.90 : x
  2. Step 2: Convert to fraction form
    9,706.58/14,558.46 = 4,774.90/x
  3. Step 3: Cross multiply
    9,706.58x = 14,558.46 × 4,774.90
  4. Step 4: Simplify right side
    9,706.58x = 69,515,190.65
  5. Step 5: Solve for x
    x = 69,515,190.65/9,706.58
  6. Step 6: Final answer
    x = 7,161.66

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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.