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Finding the Fourth Proportional to 9,468.48, 14,205 and 2,894.22

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Solution

The fourth proportional to 9,468.48, 14,205 and 2,894.22 is: 4,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.48 : 14,205 = 2,894.22 : x
  2. Step 2: Convert to fraction form
    9,468.48/14,205 = 2,894.22/x
  3. Step 3: Cross multiply
    9,468.48x = 14,205 × 2,894.22
  4. Step 4: Simplify right side
    9,468.48x = 41,112,395.10
  5. Step 5: Solve for x
    x = 41,112,395.10/9,468.48
  6. Step 6: Final answer
    x = 4,342.03

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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.