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Finding the Fourth Proportional to 9,840.16, 14,747.76 and 9,736

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Solution

The fourth proportional to 9,840.16, 14,747.76 and 9,736 is: 14,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.16 : 14,747.76 = 9,736 : x
  2. Step 2: Convert to fraction form
    9,840.16/14,747.76 = 9,736/x
  3. Step 3: Cross multiply
    9,840.16x = 14,747.76 × 9,736
  4. Step 4: Simplify right side
    9,840.16x = 143,584,191.36
  5. Step 5: Solve for x
    x = 143,584,191.36/9,840.16
  6. Step 6: Final answer
    x = 14,591.65

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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.