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Finding the Fourth Proportional to 9,534.50, 14,302.74 and 2,609

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Solution

The fourth proportional to 9,534.50, 14,302.74 and 2,609 is: 3,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.50 : 14,302.74 = 2,609 : x
  2. Step 2: Convert to fraction form
    9,534.50/14,302.74 = 2,609/x
  3. Step 3: Cross multiply
    9,534.50x = 14,302.74 × 2,609
  4. Step 4: Simplify right side
    9,534.50x = 37,315,848.66
  5. Step 5: Solve for x
    x = 37,315,848.66/9,534.50
  6. Step 6: Final answer
    x = 3,913.77

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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.