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Finding the Fourth Proportional to 9,709.11, 14,566.74 and 3,468.99

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Solution

The fourth proportional to 9,709.11, 14,566.74 and 3,468.99 is: 5,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.11 : 14,566.74 = 3,468.99 : x
  2. Step 2: Convert to fraction form
    9,709.11/14,566.74 = 3,468.99/x
  3. Step 3: Cross multiply
    9,709.11x = 14,566.74 × 3,468.99
  4. Step 4: Simplify right side
    9,709.11x = 50,531,875.39
  5. Step 5: Solve for x
    x = 50,531,875.39/9,709.11
  6. Step 6: Final answer
    x = 5,204.58

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Why These Related Problems?

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