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Finding the Fourth Proportional to 9,886.36, 14,822.54 and 4,952.48

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Solution

The fourth proportional to 9,886.36, 14,822.54 and 4,952.48 is: 7,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.36 : 14,822.54 = 4,952.48 : x
  2. Step 2: Convert to fraction form
    9,886.36/14,822.54 = 4,952.48/x
  3. Step 3: Cross multiply
    9,886.36x = 14,822.54 × 4,952.48
  4. Step 4: Simplify right side
    9,886.36x = 73,408,332.90
  5. Step 5: Solve for x
    x = 73,408,332.90/9,886.36
  6. Step 6: Final answer
    x = 7,425.21

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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.