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Finding the Fourth Proportional to 9,853.56, 14,773.32 and 4,005.36

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Solution

The fourth proportional to 9,853.56, 14,773.32 and 4,005.36 is: 6,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.56 : 14,773.32 = 4,005.36 : x
  2. Step 2: Convert to fraction form
    9,853.56/14,773.32 = 4,005.36/x
  3. Step 3: Cross multiply
    9,853.56x = 14,773.32 × 4,005.36
  4. Step 4: Simplify right side
    9,853.56x = 59,172,465.00
  5. Step 5: Solve for x
    x = 59,172,465.00/9,853.56
  6. Step 6: Final answer
    x = 6,005.19

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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.