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Finding the Fourth Proportional to 9,865.54, 14,798.28 and 3,291.28

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Solution

The fourth proportional to 9,865.54, 14,798.28 and 3,291.28 is: 4,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.54 : 14,798.28 = 3,291.28 : x
  2. Step 2: Convert to fraction form
    9,865.54/14,798.28 = 3,291.28/x
  3. Step 3: Cross multiply
    9,865.54x = 14,798.28 × 3,291.28
  4. Step 4: Simplify right side
    9,865.54x = 48,705,283.00
  5. Step 5: Solve for x
    x = 48,705,283.00/9,865.54
  6. Step 6: Final answer
    x = 4,936.91

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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.