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Finding the Fourth Proportional to 9,747.30, 14,620.95 and 7,673.70

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Solution

The fourth proportional to 9,747.30, 14,620.95 and 7,673.70 is: 11,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.30 : 14,620.95 = 7,673.70 : x
  2. Step 2: Convert to fraction form
    9,747.30/14,620.95 = 7,673.70/x
  3. Step 3: Cross multiply
    9,747.30x = 14,620.95 × 7,673.70
  4. Step 4: Simplify right side
    9,747.30x = 112,196,784.02
  5. Step 5: Solve for x
    x = 112,196,784.02/9,747.30
  6. Step 6: Final answer
    x = 11,510.55

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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.