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Finding the Fourth Proportional to 9,757.64, 14,637.06 and 3,913.49

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Solution

The fourth proportional to 9,757.64, 14,637.06 and 3,913.49 is: 5,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.64 : 14,637.06 = 3,913.49 : x
  2. Step 2: Convert to fraction form
    9,757.64/14,637.06 = 3,913.49/x
  3. Step 3: Cross multiply
    9,757.64x = 14,637.06 × 3,913.49
  4. Step 4: Simplify right side
    9,757.64x = 57,281,914.75
  5. Step 5: Solve for x
    x = 57,281,914.75/9,757.64
  6. Step 6: Final answer
    x = 5,870.47

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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.