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Finding the Fourth Proportional to 9,792.55, 14,688.78 and 3,218.68

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Solution

The fourth proportional to 9,792.55, 14,688.78 and 3,218.68 is: 4,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.55 : 14,688.78 = 3,218.68 : x
  2. Step 2: Convert to fraction form
    9,792.55/14,688.78 = 3,218.68/x
  3. Step 3: Cross multiply
    9,792.55x = 14,688.78 × 3,218.68
  4. Step 4: Simplify right side
    9,792.55x = 47,278,482.41
  5. Step 5: Solve for x
    x = 47,278,482.41/9,792.55
  6. Step 6: Final answer
    x = 4,828.01

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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.