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Finding the Fourth Proportional to 9,781.95, 14,661.86 and 4,854.99

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Solution

The fourth proportional to 9,781.95, 14,661.86 and 4,854.99 is: 7,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.95 : 14,661.86 = 4,854.99 : x
  2. Step 2: Convert to fraction form
    9,781.95/14,661.86 = 4,854.99/x
  3. Step 3: Cross multiply
    9,781.95x = 14,661.86 × 4,854.99
  4. Step 4: Simplify right side
    9,781.95x = 71,183,159.41
  5. Step 5: Solve for x
    x = 71,183,159.41/9,781.95
  6. Step 6: Final answer
    x = 7,276.99

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Why These Related Problems?

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