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Finding the Fourth Proportional to 9,777.08, 13,494.12 and 5,800.40

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Solution

The fourth proportional to 9,777.08, 13,494.12 and 5,800.40 is: 8,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.08 : 13,494.12 = 5,800.40 : x
  2. Step 2: Convert to fraction form
    9,777.08/13,494.12 = 5,800.40/x
  3. Step 3: Cross multiply
    9,777.08x = 13,494.12 × 5,800.40
  4. Step 4: Simplify right side
    9,777.08x = 78,271,293.65
  5. Step 5: Solve for x
    x = 78,271,293.65/9,777.08
  6. Step 6: Final answer
    x = 8,005.59

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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.