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Finding the Fourth Proportional to 9,706.05, 14,562.15 and 3,465.93

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Solution

The fourth proportional to 9,706.05, 14,562.15 and 3,465.93 is: 5,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.05 : 14,562.15 = 3,465.93 : x
  2. Step 2: Convert to fraction form
    9,706.05/14,562.15 = 3,465.93/x
  3. Step 3: Cross multiply
    9,706.05x = 14,562.15 × 3,465.93
  4. Step 4: Simplify right side
    9,706.05x = 50,471,392.55
  5. Step 5: Solve for x
    x = 50,471,392.55/9,706.05
  6. Step 6: Final answer
    x = 5,199.99

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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.