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Finding the Fourth Proportional to 9,804, 14,709.96 and 4,254.42

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Solution

The fourth proportional to 9,804, 14,709.96 and 4,254.42 is: 6,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804 : 14,709.96 = 4,254.42 : x
  2. Step 2: Convert to fraction form
    9,804/14,709.96 = 4,254.42/x
  3. Step 3: Cross multiply
    9,804x = 14,709.96 × 4,254.42
  4. Step 4: Simplify right side
    9,804x = 62,582,348.02
  5. Step 5: Solve for x
    x = 62,582,348.02/9,804
  6. Step 6: Final answer
    x = 6,383.35

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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.