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Finding the Fourth Proportional to 9,564.56, 14,347.56 and 2,639

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Solution

The fourth proportional to 9,564.56, 14,347.56 and 2,639 is: 3,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.56 : 14,347.56 = 2,639 : x
  2. Step 2: Convert to fraction form
    9,564.56/14,347.56 = 2,639/x
  3. Step 3: Cross multiply
    9,564.56x = 14,347.56 × 2,639
  4. Step 4: Simplify right side
    9,564.56x = 37,863,210.84
  5. Step 5: Solve for x
    x = 37,863,210.84/9,564.56
  6. Step 6: Final answer
    x = 3,958.70

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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.