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Finding the Fourth Proportional to 9,985.59, 13,779.81 and 6,006.02

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Solution

The fourth proportional to 9,985.59, 13,779.81 and 6,006.02 is: 8,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.59 : 13,779.81 = 6,006.02 : x
  2. Step 2: Convert to fraction form
    9,985.59/13,779.81 = 6,006.02/x
  3. Step 3: Cross multiply
    9,985.59x = 13,779.81 × 6,006.02
  4. Step 4: Simplify right side
    9,985.59x = 82,761,745.56
  5. Step 5: Solve for x
    x = 82,761,745.56/9,985.59
  6. Step 6: Final answer
    x = 8,288.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.