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Finding the Fourth Proportional to 9,967.88, 13,656.06 and 9,594.20

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Solution

The fourth proportional to 9,967.88, 13,656.06 and 9,594.20 is: 13,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.88 : 13,656.06 = 9,594.20 : x
  2. Step 2: Convert to fraction form
    9,967.88/13,656.06 = 9,594.20/x
  3. Step 3: Cross multiply
    9,967.88x = 13,656.06 × 9,594.20
  4. Step 4: Simplify right side
    9,967.88x = 131,018,970.85
  5. Step 5: Solve for x
    x = 131,018,970.85/9,967.88
  6. Step 6: Final answer
    x = 13,144.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.