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Finding the Fourth Proportional to 9,854.94, 14,761.82 and 4,594.52

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Solution

The fourth proportional to 9,854.94, 14,761.82 and 4,594.52 is: 6,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.94 : 14,761.82 = 4,594.52 : x
  2. Step 2: Convert to fraction form
    9,854.94/14,761.82 = 4,594.52/x
  3. Step 3: Cross multiply
    9,854.94x = 14,761.82 × 4,594.52
  4. Step 4: Simplify right side
    9,854.94x = 67,823,477.23
  5. Step 5: Solve for x
    x = 67,823,477.23/9,854.94
  6. Step 6: Final answer
    x = 6,882.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.