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Finding the Fourth Proportional to 9,343.50, 14,017.47 and 3,187.50

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Solution

The fourth proportional to 9,343.50, 14,017.47 and 3,187.50 is: 4,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.50 : 14,017.47 = 3,187.50 : x
  2. Step 2: Convert to fraction form
    9,343.50/14,017.47 = 3,187.50/x
  3. Step 3: Cross multiply
    9,343.50x = 14,017.47 × 3,187.50
  4. Step 4: Simplify right side
    9,343.50x = 44,680,685.63
  5. Step 5: Solve for x
    x = 44,680,685.63/9,343.50
  6. Step 6: Final answer
    x = 4,782.01

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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.