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Finding the Fourth Proportional to 12,437.40, 17,164.02 and 6,772.34

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Solution

The fourth proportional to 12,437.40, 17,164.02 and 6,772.34 is: 9,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.40 : 17,164.02 = 6,772.34 : x
  2. Step 2: Convert to fraction form
    12,437.40/17,164.02 = 6,772.34/x
  3. Step 3: Cross multiply
    12,437.40x = 17,164.02 × 6,772.34
  4. Step 4: Simplify right side
    12,437.40x = 116,240,579.21
  5. Step 5: Solve for x
    x = 116,240,579.21/12,437.40
  6. Step 6: Final answer
    x = 9,346.05

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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.