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Finding the Fourth Proportional to 9,730.98, 13,429.89 and 5,539.86

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Solution

The fourth proportional to 9,730.98, 13,429.89 and 5,539.86 is: 7,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.98 : 13,429.89 = 5,539.86 : x
  2. Step 2: Convert to fraction form
    9,730.98/13,429.89 = 5,539.86/x
  3. Step 3: Cross multiply
    9,730.98x = 13,429.89 × 5,539.86
  4. Step 4: Simplify right side
    9,730.98x = 74,399,710.42
  5. Step 5: Solve for x
    x = 74,399,710.42/9,730.98
  6. Step 6: Final answer
    x = 7,645.65

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