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Finding the Fourth Proportional to 9,559, 14,336.88 and 2,539.12

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Solution

The fourth proportional to 9,559, 14,336.88 and 2,539.12 is: 3,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559 : 14,336.88 = 2,539.12 : x
  2. Step 2: Convert to fraction form
    9,559/14,336.88 = 2,539.12/x
  3. Step 3: Cross multiply
    9,559x = 14,336.88 × 2,539.12
  4. Step 4: Simplify right side
    9,559x = 36,403,058.75
  5. Step 5: Solve for x
    x = 36,403,058.75/9,559
  6. Step 6: Final answer
    x = 3,808.25

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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.