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Finding the Fourth Proportional to 7,133.22, 9,846.58 and 6,385.86

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Solution

The fourth proportional to 7,133.22, 9,846.58 and 6,385.86 is: 8,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.22 : 9,846.58 = 6,385.86 : x
  2. Step 2: Convert to fraction form
    7,133.22/9,846.58 = 6,385.86/x
  3. Step 3: Cross multiply
    7,133.22x = 9,846.58 × 6,385.86
  4. Step 4: Simplify right side
    7,133.22x = 62,878,881.36
  5. Step 5: Solve for x
    x = 62,878,881.36/7,133.22
  6. Step 6: Final answer
    x = 8,814.94

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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.