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Finding the Fourth Proportional to 9,563.50, 14,345.79 and 3,407.50

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Solution

The fourth proportional to 9,563.50, 14,345.79 and 3,407.50 is: 5,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.50 : 14,345.79 = 3,407.50 : x
  2. Step 2: Convert to fraction form
    9,563.50/14,345.79 = 3,407.50/x
  3. Step 3: Cross multiply
    9,563.50x = 14,345.79 × 3,407.50
  4. Step 4: Simplify right side
    9,563.50x = 48,883,279.43
  5. Step 5: Solve for x
    x = 48,883,279.43/9,563.50
  6. Step 6: Final answer
    x = 5,111.44

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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.