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Finding the Fourth Proportional to 9,674.87, 14,515.07 and 4,745.93

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Solution

The fourth proportional to 9,674.87, 14,515.07 and 4,745.93 is: 7,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.87 : 14,515.07 = 4,745.93 : x
  2. Step 2: Convert to fraction form
    9,674.87/14,515.07 = 4,745.93/x
  3. Step 3: Cross multiply
    9,674.87x = 14,515.07 × 4,745.93
  4. Step 4: Simplify right side
    9,674.87x = 68,887,409.86
  5. Step 5: Solve for x
    x = 68,887,409.86/9,674.87
  6. Step 6: Final answer
    x = 7,120.25

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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.