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Finding the Fourth Proportional to 9,810.29, 14,717.86 and 2,884.79

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Solution

The fourth proportional to 9,810.29, 14,717.86 and 2,884.79 is: 4,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.29 : 14,717.86 = 2,884.79 : x
  2. Step 2: Convert to fraction form
    9,810.29/14,717.86 = 2,884.79/x
  3. Step 3: Cross multiply
    9,810.29x = 14,717.86 × 2,884.79
  4. Step 4: Simplify right side
    9,810.29x = 42,457,964.93
  5. Step 5: Solve for x
    x = 42,457,964.93/9,810.29
  6. Step 6: Final answer
    x = 4,327.90

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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.