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Finding the Fourth Proportional to 9,859.79, 14,776.49 and 4,854.53

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Solution

The fourth proportional to 9,859.79, 14,776.49 and 4,854.53 is: 7,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.79 : 14,776.49 = 4,854.53 : x
  2. Step 2: Convert to fraction form
    9,859.79/14,776.49 = 4,854.53/x
  3. Step 3: Cross multiply
    9,859.79x = 14,776.49 × 4,854.53
  4. Step 4: Simplify right side
    9,859.79x = 71,732,963.08
  5. Step 5: Solve for x
    x = 71,732,963.08/9,859.79
  6. Step 6: Final answer
    x = 7,275.30

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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.