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Finding the Fourth Proportional to 9,137.40, 12,609.63 and 4,945.65

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Solution

The fourth proportional to 9,137.40, 12,609.63 and 4,945.65 is: 6,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.40 : 12,609.63 = 4,945.65 : x
  2. Step 2: Convert to fraction form
    9,137.40/12,609.63 = 4,945.65/x
  3. Step 3: Cross multiply
    9,137.40x = 12,609.63 × 4,945.65
  4. Step 4: Simplify right side
    9,137.40x = 62,362,816.61
  5. Step 5: Solve for x
    x = 62,362,816.61/9,137.40
  6. Step 6: Final answer
    x = 6,825.01

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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.