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Finding the Fourth Proportional to 9,549.71, 14,324.54 and 2,975.90

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Solution

The fourth proportional to 9,549.71, 14,324.54 and 2,975.90 is: 4,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.71 : 14,324.54 = 2,975.90 : x
  2. Step 2: Convert to fraction form
    9,549.71/14,324.54 = 2,975.90/x
  3. Step 3: Cross multiply
    9,549.71x = 14,324.54 × 2,975.90
  4. Step 4: Simplify right side
    9,549.71x = 42,628,419.52
  5. Step 5: Solve for x
    x = 42,628,419.52/9,549.71
  6. Step 6: Final answer
    x = 4,463.84

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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.