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Finding the Fourth Proportional to 9,965.12, 13,746.72 and 6,422.72

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Solution

The fourth proportional to 9,965.12, 13,746.72 and 6,422.72 is: 8,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.12 : 13,746.72 = 6,422.72 : x
  2. Step 2: Convert to fraction form
    9,965.12/13,746.72 = 6,422.72/x
  3. Step 3: Cross multiply
    9,965.12x = 13,746.72 × 6,422.72
  4. Step 4: Simplify right side
    9,965.12x = 88,291,333.48
  5. Step 5: Solve for x
    x = 88,291,333.48/9,965.12
  6. Step 6: Final answer
    x = 8,860.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.