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Finding the Fourth Proportional to 9,792.32, 14,690.30 and 3,218.76

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Solution

The fourth proportional to 9,792.32, 14,690.30 and 3,218.76 is: 4,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.32 : 14,690.30 = 3,218.76 : x
  2. Step 2: Convert to fraction form
    9,792.32/14,690.30 = 3,218.76/x
  3. Step 3: Cross multiply
    9,792.32x = 14,690.30 × 3,218.76
  4. Step 4: Simplify right side
    9,792.32x = 47,284,533.93
  5. Step 5: Solve for x
    x = 47,284,533.93/9,792.32
  6. Step 6: Final answer
    x = 4,828.74

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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.