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Finding the Fourth Proportional to 9,711.45, 14,569.08 and 3,868.65

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Solution

The fourth proportional to 9,711.45, 14,569.08 and 3,868.65 is: 5,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.45 : 14,569.08 = 3,868.65 : x
  2. Step 2: Convert to fraction form
    9,711.45/14,569.08 = 3,868.65/x
  3. Step 3: Cross multiply
    9,711.45x = 14,569.08 × 3,868.65
  4. Step 4: Simplify right side
    9,711.45x = 56,362,671.34
  5. Step 5: Solve for x
    x = 56,362,671.34/9,711.45
  6. Step 6: Final answer
    x = 5,803.73

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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.