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Finding the Fourth Proportional to 9,564.50, 14,344.02 and 4,019.10

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Solution

The fourth proportional to 9,564.50, 14,344.02 and 4,019.10 is: 6,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.50 : 14,344.02 = 4,019.10 : x
  2. Step 2: Convert to fraction form
    9,564.50/14,344.02 = 4,019.10/x
  3. Step 3: Cross multiply
    9,564.50x = 14,344.02 × 4,019.10
  4. Step 4: Simplify right side
    9,564.50x = 57,650,050.78
  5. Step 5: Solve for x
    x = 57,650,050.78/9,564.50
  6. Step 6: Final answer
    x = 6,027.50

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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.