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Finding the Fourth Proportional to 9,758.17, 14,631.77 and 6,642.37

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Solution

The fourth proportional to 9,758.17, 14,631.77 and 6,642.37 is: 9,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.17 : 14,631.77 = 6,642.37 : x
  2. Step 2: Convert to fraction form
    9,758.17/14,631.77 = 6,642.37/x
  3. Step 3: Cross multiply
    9,758.17x = 14,631.77 × 6,642.37
  4. Step 4: Simplify right side
    9,758.17x = 97,189,664.99
  5. Step 5: Solve for x
    x = 97,189,664.99/9,758.17
  6. Step 6: Final answer
    x = 9,959.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.