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Finding the Fourth Proportional to 9,757, 14,637.35 and 3,914.07

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Solution

The fourth proportional to 9,757, 14,637.35 and 3,914.07 is: 5,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757 : 14,637.35 = 3,914.07 : x
  2. Step 2: Convert to fraction form
    9,757/14,637.35 = 3,914.07/x
  3. Step 3: Cross multiply
    9,757x = 14,637.35 × 3,914.07
  4. Step 4: Simplify right side
    9,757x = 57,291,612.51
  5. Step 5: Solve for x
    x = 57,291,612.51/9,757
  6. Step 6: Final answer
    x = 5,871.85

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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.