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Finding the Fourth Proportional to 9,564.84, 14,343.84 and 3,323.70

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Solution

The fourth proportional to 9,564.84, 14,343.84 and 3,323.70 is: 4,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.84 : 14,343.84 = 3,323.70 : x
  2. Step 2: Convert to fraction form
    9,564.84/14,343.84 = 3,323.70/x
  3. Step 3: Cross multiply
    9,564.84x = 14,343.84 × 3,323.70
  4. Step 4: Simplify right side
    9,564.84x = 47,674,621.01
  5. Step 5: Solve for x
    x = 47,674,621.01/9,564.84
  6. Step 6: Final answer
    x = 4,984.36

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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.