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Finding the Fourth Proportional to 6,389.94, 9,585.70 and 2,497.08

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Solution

The fourth proportional to 6,389.94, 9,585.70 and 2,497.08 is: 3,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.94 : 9,585.70 = 2,497.08 : x
  2. Step 2: Convert to fraction form
    6,389.94/9,585.70 = 2,497.08/x
  3. Step 3: Cross multiply
    6,389.94x = 9,585.70 × 2,497.08
  4. Step 4: Simplify right side
    6,389.94x = 23,936,259.76
  5. Step 5: Solve for x
    x = 23,936,259.76/6,389.94
  6. Step 6: Final answer
    x = 3,745.93

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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.