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Finding the Fourth Proportional to 7,097.24, 9,792.80 and 4,578.86

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Solution

The fourth proportional to 7,097.24, 9,792.80 and 4,578.86 is: 6,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.24 : 9,792.80 = 4,578.86 : x
  2. Step 2: Convert to fraction form
    7,097.24/9,792.80 = 4,578.86/x
  3. Step 3: Cross multiply
    7,097.24x = 9,792.80 × 4,578.86
  4. Step 4: Simplify right side
    7,097.24x = 44,839,860.21
  5. Step 5: Solve for x
    x = 44,839,860.21/7,097.24
  6. Step 6: Final answer
    x = 6,317.93

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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.