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Finding the Fourth Proportional to 7,154.67, 9,868.46 and 6,913.83

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Solution

The fourth proportional to 7,154.67, 9,868.46 and 6,913.83 is: 9,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.67 : 9,868.46 = 6,913.83 : x
  2. Step 2: Convert to fraction form
    7,154.67/9,868.46 = 6,913.83/x
  3. Step 3: Cross multiply
    7,154.67x = 9,868.46 × 6,913.83
  4. Step 4: Simplify right side
    7,154.67x = 68,228,820.23
  5. Step 5: Solve for x
    x = 68,228,820.23/7,154.67
  6. Step 6: Final answer
    x = 9,536.26

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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.