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Finding the Fourth Proportional to 9,848.31, 14,776.53 and 5,460.54

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Solution

The fourth proportional to 9,848.31, 14,776.53 and 5,460.54 is: 8,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.31 : 14,776.53 = 5,460.54 : x
  2. Step 2: Convert to fraction form
    9,848.31/14,776.53 = 5,460.54/x
  3. Step 3: Cross multiply
    9,848.31x = 14,776.53 × 5,460.54
  4. Step 4: Simplify right side
    9,848.31x = 80,687,833.13
  5. Step 5: Solve for x
    x = 80,687,833.13/9,848.31
  6. Step 6: Final answer
    x = 8,193.06

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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.