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Finding the Fourth Proportional to 9,634.02, 14,439.20 and 5,477.50

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Solution

The fourth proportional to 9,634.02, 14,439.20 and 5,477.50 is: 8,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.02 : 14,439.20 = 5,477.50 : x
  2. Step 2: Convert to fraction form
    9,634.02/14,439.20 = 5,477.50/x
  3. Step 3: Cross multiply
    9,634.02x = 14,439.20 × 5,477.50
  4. Step 4: Simplify right side
    9,634.02x = 79,090,718
  5. Step 5: Solve for x
    x = 79,090,718/9,634.02
  6. Step 6: Final answer
    x = 8,209.52

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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.