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Finding the Fourth Proportional to 9,847.16, 14,736.04 and 6,151.13

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Solution

The fourth proportional to 9,847.16, 14,736.04 and 6,151.13 is: 9,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.16 : 14,736.04 = 6,151.13 : x
  2. Step 2: Convert to fraction form
    9,847.16/14,736.04 = 6,151.13/x
  3. Step 3: Cross multiply
    9,847.16x = 14,736.04 × 6,151.13
  4. Step 4: Simplify right side
    9,847.16x = 90,643,208.67
  5. Step 5: Solve for x
    x = 90,643,208.67/9,847.16
  6. Step 6: Final answer
    x = 9,205.01

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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.