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Finding the Fourth Proportional to 9,854.76, 14,769.77 and 4,925.78

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Solution

The fourth proportional to 9,854.76, 14,769.77 and 4,925.78 is: 7,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.76 : 14,769.77 = 4,925.78 : x
  2. Step 2: Convert to fraction form
    9,854.76/14,769.77 = 4,925.78/x
  3. Step 3: Cross multiply
    9,854.76x = 14,769.77 × 4,925.78
  4. Step 4: Simplify right side
    9,854.76x = 72,752,539.19
  5. Step 5: Solve for x
    x = 72,752,539.19/9,854.76
  6. Step 6: Final answer
    x = 7,382.48

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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.