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Finding the Fourth Proportional to 7,205.86, 9,924.21 and 6,210.77

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Solution

The fourth proportional to 7,205.86, 9,924.21 and 6,210.77 is: 8,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.86 : 9,924.21 = 6,210.77 : x
  2. Step 2: Convert to fraction form
    7,205.86/9,924.21 = 6,210.77/x
  3. Step 3: Cross multiply
    7,205.86x = 9,924.21 × 6,210.77
  4. Step 4: Simplify right side
    7,205.86x = 61,636,985.74
  5. Step 5: Solve for x
    x = 61,636,985.74/7,205.86
  6. Step 6: Final answer
    x = 8,553.73

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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.