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Finding the Fourth Proportional to 9,792.37, 14,657.57 and 6,277.68

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Solution

The fourth proportional to 9,792.37, 14,657.57 and 6,277.68 is: 9,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.37 : 14,657.57 = 6,277.68 : x
  2. Step 2: Convert to fraction form
    9,792.37/14,657.57 = 6,277.68/x
  3. Step 3: Cross multiply
    9,792.37x = 14,657.57 × 6,277.68
  4. Step 4: Simplify right side
    9,792.37x = 92,015,502.65
  5. Step 5: Solve for x
    x = 92,015,502.65/9,792.37
  6. Step 6: Final answer
    x = 9,396.66

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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.