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Finding the Fourth Proportional to 6,159.64, 9,237.30 and 1,775.92

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Solution

The fourth proportional to 6,159.64, 9,237.30 and 1,775.92 is: 2,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.64 : 9,237.30 = 1,775.92 : x
  2. Step 2: Convert to fraction form
    6,159.64/9,237.30 = 1,775.92/x
  3. Step 3: Cross multiply
    6,159.64x = 9,237.30 × 1,775.92
  4. Step 4: Simplify right side
    6,159.64x = 16,404,705.82
  5. Step 5: Solve for x
    x = 16,404,705.82/6,159.64
  6. Step 6: Final answer
    x = 2,663.26

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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.