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Finding the Fourth Proportional to 9,314.01, 13,965.26 and 4,384.89

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Solution

The fourth proportional to 9,314.01, 13,965.26 and 4,384.89 is: 6,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.01 : 13,965.26 = 4,384.89 : x
  2. Step 2: Convert to fraction form
    9,314.01/13,965.26 = 4,384.89/x
  3. Step 3: Cross multiply
    9,314.01x = 13,965.26 × 4,384.89
  4. Step 4: Simplify right side
    9,314.01x = 61,236,107.00
  5. Step 5: Solve for x
    x = 61,236,107.00/9,314.01
  6. Step 6: Final answer
    x = 6,574.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.