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Finding the Fourth Proportional to 9,114.69, 12,578.27 and 4,922.94

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Solution

The fourth proportional to 9,114.69, 12,578.27 and 4,922.94 is: 6,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.69 : 12,578.27 = 4,922.94 : x
  2. Step 2: Convert to fraction form
    9,114.69/12,578.27 = 4,922.94/x
  3. Step 3: Cross multiply
    9,114.69x = 12,578.27 × 4,922.94
  4. Step 4: Simplify right side
    9,114.69x = 61,922,068.51
  5. Step 5: Solve for x
    x = 61,922,068.51/9,114.69
  6. Step 6: Final answer
    x = 6,793.66

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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.