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Finding the Fourth Proportional to 9,895.80, 14,851.80 and 4,056.78

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Solution

The fourth proportional to 9,895.80, 14,851.80 and 4,056.78 is: 6,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.80 : 14,851.80 = 4,056.78 : x
  2. Step 2: Convert to fraction form
    9,895.80/14,851.80 = 4,056.78/x
  3. Step 3: Cross multiply
    9,895.80x = 14,851.80 × 4,056.78
  4. Step 4: Simplify right side
    9,895.80x = 60,250,485.20
  5. Step 5: Solve for x
    x = 60,250,485.20/9,895.80
  6. Step 6: Final answer
    x = 6,088.49

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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.