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Finding the Fourth Proportional to 9,470, 14,200.58 and 3,228.32

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Solution

The fourth proportional to 9,470, 14,200.58 and 3,228.32 is: 4,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470 : 14,200.58 = 3,228.32 : x
  2. Step 2: Convert to fraction form
    9,470/14,200.58 = 3,228.32/x
  3. Step 3: Cross multiply
    9,470x = 14,200.58 × 3,228.32
  4. Step 4: Simplify right side
    9,470x = 45,844,016.43
  5. Step 5: Solve for x
    x = 45,844,016.43/9,470
  6. Step 6: Final answer
    x = 4,840.97

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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.