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Finding the Fourth Proportional to 6,315.24, 9,472.86 and 2,804.42

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Solution

The fourth proportional to 6,315.24, 9,472.86 and 2,804.42 is: 4,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.24 : 9,472.86 = 2,804.42 : x
  2. Step 2: Convert to fraction form
    6,315.24/9,472.86 = 2,804.42/x
  3. Step 3: Cross multiply
    6,315.24x = 9,472.86 × 2,804.42
  4. Step 4: Simplify right side
    6,315.24x = 26,565,905.67
  5. Step 5: Solve for x
    x = 26,565,905.67/6,315.24
  6. Step 6: Final answer
    x = 4,206.63

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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.