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Finding the Fourth Proportional to 9,151.94, 13,730.65 and 4,772.48

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Solution

The fourth proportional to 9,151.94, 13,730.65 and 4,772.48 is: 7,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.94 : 13,730.65 = 4,772.48 : x
  2. Step 2: Convert to fraction form
    9,151.94/13,730.65 = 4,772.48/x
  3. Step 3: Cross multiply
    9,151.94x = 13,730.65 × 4,772.48
  4. Step 4: Simplify right side
    9,151.94x = 65,529,171.93
  5. Step 5: Solve for x
    x = 65,529,171.93/9,151.94
  6. Step 6: Final answer
    x = 7,160.14

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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.