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Finding the Fourth Proportional to 7,107.99, 9,813.87 and 4,596.18

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Solution

The fourth proportional to 7,107.99, 9,813.87 and 4,596.18 is: 6,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.99 : 9,813.87 = 4,596.18 : x
  2. Step 2: Convert to fraction form
    7,107.99/9,813.87 = 4,596.18/x
  3. Step 3: Cross multiply
    7,107.99x = 9,813.87 × 4,596.18
  4. Step 4: Simplify right side
    7,107.99x = 45,106,313.02
  5. Step 5: Solve for x
    x = 45,106,313.02/7,107.99
  6. Step 6: Final answer
    x = 6,345.86

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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.