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Finding the Fourth Proportional to 9,830.46, 14,738.36 and 8,840.36

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Solution

The fourth proportional to 9,830.46, 14,738.36 and 8,840.36 is: 13,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.46 : 14,738.36 = 8,840.36 : x
  2. Step 2: Convert to fraction form
    9,830.46/14,738.36 = 8,840.36/x
  3. Step 3: Cross multiply
    9,830.46x = 14,738.36 × 8,840.36
  4. Step 4: Simplify right side
    9,830.46x = 130,292,408.21
  5. Step 5: Solve for x
    x = 130,292,408.21/9,830.46
  6. Step 6: Final answer
    x = 13,253.95

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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.