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Finding the Fourth Proportional to 7,083.95, 9,778.73 and 4,566.20

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Solution

The fourth proportional to 7,083.95, 9,778.73 and 4,566.20 is: 6,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.95 : 9,778.73 = 4,566.20 : x
  2. Step 2: Convert to fraction form
    7,083.95/9,778.73 = 4,566.20/x
  3. Step 3: Cross multiply
    7,083.95x = 9,778.73 × 4,566.20
  4. Step 4: Simplify right side
    7,083.95x = 44,651,565.20
  5. Step 5: Solve for x
    x = 44,651,565.20/7,083.95
  6. Step 6: Final answer
    x = 6,303.21

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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.