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Finding the Fourth Proportional to 9,758.34, 14,639.40 and 3,182.76

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Solution

The fourth proportional to 9,758.34, 14,639.40 and 3,182.76 is: 4,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.34 : 14,639.40 = 3,182.76 : x
  2. Step 2: Convert to fraction form
    9,758.34/14,639.40 = 3,182.76/x
  3. Step 3: Cross multiply
    9,758.34x = 14,639.40 × 3,182.76
  4. Step 4: Simplify right side
    9,758.34x = 46,593,696.74
  5. Step 5: Solve for x
    x = 46,593,696.74/9,758.34
  6. Step 6: Final answer
    x = 4,774.76

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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.