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Finding the Fourth Proportional to 9,827.87, 14,734.12 and 6,700.12

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Solution

The fourth proportional to 9,827.87, 14,734.12 and 6,700.12 is: 10,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.87 : 14,734.12 = 6,700.12 : x
  2. Step 2: Convert to fraction form
    9,827.87/14,734.12 = 6,700.12/x
  3. Step 3: Cross multiply
    9,827.87x = 14,734.12 × 6,700.12
  4. Step 4: Simplify right side
    9,827.87x = 98,720,302.81
  5. Step 5: Solve for x
    x = 98,720,302.81/9,827.87
  6. Step 6: Final answer
    x = 10,044.93

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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.