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Finding the Fourth Proportional to 7,165.27, 9,887.93 and 3,978.40

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Solution

The fourth proportional to 7,165.27, 9,887.93 and 3,978.40 is: 5,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.27 : 9,887.93 = 3,978.40 : x
  2. Step 2: Convert to fraction form
    7,165.27/9,887.93 = 3,978.40/x
  3. Step 3: Cross multiply
    7,165.27x = 9,887.93 × 3,978.40
  4. Step 4: Simplify right side
    7,165.27x = 39,338,159.32
  5. Step 5: Solve for x
    x = 39,338,159.32/7,165.27
  6. Step 6: Final answer
    x = 5,490.12

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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.