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Finding the Fourth Proportional to 6,401.95, 8,834.73 and 3,569.50

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Solution

The fourth proportional to 6,401.95, 8,834.73 and 3,569.50 is: 4,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.95 : 8,834.73 = 3,569.50 : x
  2. Step 2: Convert to fraction form
    6,401.95/8,834.73 = 3,569.50/x
  3. Step 3: Cross multiply
    6,401.95x = 8,834.73 × 3,569.50
  4. Step 4: Simplify right side
    6,401.95x = 31,535,550.89
  5. Step 5: Solve for x
    x = 31,535,550.89/6,401.95
  6. Step 6: Final answer
    x = 4,925.93

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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.