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Finding the Fourth Proportional to 9,644.07, 14,465.84 and 3,070.65

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Solution

The fourth proportional to 9,644.07, 14,465.84 and 3,070.65 is: 4,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.07 : 14,465.84 = 3,070.65 : x
  2. Step 2: Convert to fraction form
    9,644.07/14,465.84 = 3,070.65/x
  3. Step 3: Cross multiply
    9,644.07x = 14,465.84 × 3,070.65
  4. Step 4: Simplify right side
    9,644.07x = 44,419,516.24
  5. Step 5: Solve for x
    x = 44,419,516.24/9,644.07
  6. Step 6: Final answer
    x = 4,605.89

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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.