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Finding the Fourth Proportional to 12,509.57, 17,263.14 and 6,844.21

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Solution

The fourth proportional to 12,509.57, 17,263.14 and 6,844.21 is: 9,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.57 : 17,263.14 = 6,844.21 : x
  2. Step 2: Convert to fraction form
    12,509.57/17,263.14 = 6,844.21/x
  3. Step 3: Cross multiply
    12,509.57x = 17,263.14 × 6,844.21
  4. Step 4: Simplify right side
    12,509.57x = 118,152,555.42
  5. Step 5: Solve for x
    x = 118,152,555.42/12,509.57
  6. Step 6: Final answer
    x = 9,444.97

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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.