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Finding the Fourth Proportional to 9,896.64, 14,822.28 and 6,423.36

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Solution

The fourth proportional to 9,896.64, 14,822.28 and 6,423.36 is: 9,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.64 : 14,822.28 = 6,423.36 : x
  2. Step 2: Convert to fraction form
    9,896.64/14,822.28 = 6,423.36/x
  3. Step 3: Cross multiply
    9,896.64x = 14,822.28 × 6,423.36
  4. Step 4: Simplify right side
    9,896.64x = 95,208,840.46
  5. Step 5: Solve for x
    x = 95,208,840.46/9,896.64
  6. Step 6: Final answer
    x = 9,620.32

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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.