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Finding the Fourth Proportional to 9,265, 13,885.98 and 4,065.64

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Solution

The fourth proportional to 9,265, 13,885.98 and 4,065.64 is: 6,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265 : 13,885.98 = 4,065.64 : x
  2. Step 2: Convert to fraction form
    9,265/13,885.98 = 4,065.64/x
  3. Step 3: Cross multiply
    9,265x = 13,885.98 × 4,065.64
  4. Step 4: Simplify right side
    9,265x = 56,455,395.73
  5. Step 5: Solve for x
    x = 56,455,395.73/9,265
  6. Step 6: Final answer
    x = 6,093.40

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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.