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Finding the Fourth Proportional to 6,155.02, 9,184.49 and 5,492.34

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Solution

The fourth proportional to 6,155.02, 9,184.49 and 5,492.34 is: 8,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.02 : 9,184.49 = 5,492.34 : x
  2. Step 2: Convert to fraction form
    6,155.02/9,184.49 = 5,492.34/x
  3. Step 3: Cross multiply
    6,155.02x = 9,184.49 × 5,492.34
  4. Step 4: Simplify right side
    6,155.02x = 50,444,334.94
  5. Step 5: Solve for x
    x = 50,444,334.94/6,155.02
  6. Step 6: Final answer
    x = 8,195.64

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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.