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Finding the Fourth Proportional to 6,237.37, 9,357.65 and 1,854.82

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Solution

The fourth proportional to 6,237.37, 9,357.65 and 1,854.82 is: 2,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.37 : 9,357.65 = 1,854.82 : x
  2. Step 2: Convert to fraction form
    6,237.37/9,357.65 = 1,854.82/x
  3. Step 3: Cross multiply
    6,237.37x = 9,357.65 × 1,854.82
  4. Step 4: Simplify right side
    6,237.37x = 17,356,756.37
  5. Step 5: Solve for x
    x = 17,356,756.37/6,237.37
  6. Step 6: Final answer
    x = 2,782.70

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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.