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Finding the Fourth Proportional to 9,715.06, 14,550.72 and 4,510

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Solution

The fourth proportional to 9,715.06, 14,550.72 and 4,510 is: 6,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.06 : 14,550.72 = 4,510 : x
  2. Step 2: Convert to fraction form
    9,715.06/14,550.72 = 4,510/x
  3. Step 3: Cross multiply
    9,715.06x = 14,550.72 × 4,510
  4. Step 4: Simplify right side
    9,715.06x = 65,623,747.20
  5. Step 5: Solve for x
    x = 65,623,747.20/9,715.06
  6. Step 6: Final answer
    x = 6,754.85

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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.