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Finding the Fourth Proportional to 7,133.73, 9,847.25 and 6,386.35

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Solution

The fourth proportional to 7,133.73, 9,847.25 and 6,386.35 is: 8,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.73 : 9,847.25 = 6,386.35 : x
  2. Step 2: Convert to fraction form
    7,133.73/9,847.25 = 6,386.35/x
  3. Step 3: Cross multiply
    7,133.73x = 9,847.25 × 6,386.35
  4. Step 4: Simplify right side
    7,133.73x = 62,887,985.04
  5. Step 5: Solve for x
    x = 62,887,985.04/7,133.73
  6. Step 6: Final answer
    x = 8,815.58

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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.