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Finding the Fourth Proportional to 9,754.96, 14,566.62 and 9,651.95

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Solution

The fourth proportional to 9,754.96, 14,566.62 and 9,651.95 is: 14,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.96 : 14,566.62 = 9,651.95 : x
  2. Step 2: Convert to fraction form
    9,754.96/14,566.62 = 9,651.95/x
  3. Step 3: Cross multiply
    9,754.96x = 14,566.62 × 9,651.95
  4. Step 4: Simplify right side
    9,754.96x = 140,596,287.91
  5. Step 5: Solve for x
    x = 140,596,287.91/9,754.96
  6. Step 6: Final answer
    x = 14,412.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.