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Finding the Fourth Proportional to 9,559, 14,339.04 and 3,403

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Solution

The fourth proportional to 9,559, 14,339.04 and 3,403 is: 5,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559 : 14,339.04 = 3,403 : x
  2. Step 2: Convert to fraction form
    9,559/14,339.04 = 3,403/x
  3. Step 3: Cross multiply
    9,559x = 14,339.04 × 3,403
  4. Step 4: Simplify right side
    9,559x = 48,795,753.12
  5. Step 5: Solve for x
    x = 48,795,753.12/9,559
  6. Step 6: Final answer
    x = 5,104.69

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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.