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Finding the Fourth Proportional to 9,300.27, 12,834.32 and 5,051.30

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Solution

The fourth proportional to 9,300.27, 12,834.32 and 5,051.30 is: 6,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.27 : 12,834.32 = 5,051.30 : x
  2. Step 2: Convert to fraction form
    9,300.27/12,834.32 = 5,051.30/x
  3. Step 3: Cross multiply
    9,300.27x = 12,834.32 × 5,051.30
  4. Step 4: Simplify right side
    9,300.27x = 64,829,949.07
  5. Step 5: Solve for x
    x = 64,829,949.07/9,300.27
  6. Step 6: Final answer
    x = 6,970.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.