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Finding the Fourth Proportional to 9,205.60, 13,807.66 and 2,963.99

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Solution

The fourth proportional to 9,205.60, 13,807.66 and 2,963.99 is: 4,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.60 : 13,807.66 = 2,963.99 : x
  2. Step 2: Convert to fraction form
    9,205.60/13,807.66 = 2,963.99/x
  3. Step 3: Cross multiply
    9,205.60x = 13,807.66 × 2,963.99
  4. Step 4: Simplify right side
    9,205.60x = 40,925,682.31
  5. Step 5: Solve for x
    x = 40,925,682.31/9,205.60
  6. Step 6: Final answer
    x = 4,445.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.