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Finding the Fourth Proportional to 6,315.04, 9,506.68 and 5,680

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Solution

The fourth proportional to 6,315.04, 9,506.68 and 5,680 is: 8,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.04 : 9,506.68 = 5,680 : x
  2. Step 2: Convert to fraction form
    6,315.04/9,506.68 = 5,680/x
  3. Step 3: Cross multiply
    6,315.04x = 9,506.68 × 5,680
  4. Step 4: Simplify right side
    6,315.04x = 53,997,942.40
  5. Step 5: Solve for x
    x = 53,997,942.40/6,315.04
  6. Step 6: Final answer
    x = 8,550.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.