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Finding the Fourth Proportional to 9,165.14, 12,647.90 and 4,973.39

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Solution

The fourth proportional to 9,165.14, 12,647.90 and 4,973.39 is: 6,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.14 : 12,647.90 = 4,973.39 : x
  2. Step 2: Convert to fraction form
    9,165.14/12,647.90 = 4,973.39/x
  3. Step 3: Cross multiply
    9,165.14x = 12,647.90 × 4,973.39
  4. Step 4: Simplify right side
    9,165.14x = 62,902,983.43
  5. Step 5: Solve for x
    x = 62,902,983.43/9,165.14
  6. Step 6: Final answer
    x = 6,863.28

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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.