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Finding the Fourth Proportional to 9,077.86, 12,527.44 and 5,300.29

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Solution

The fourth proportional to 9,077.86, 12,527.44 and 5,300.29 is: 7,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.86 : 12,527.44 = 5,300.29 : x
  2. Step 2: Convert to fraction form
    9,077.86/12,527.44 = 5,300.29/x
  3. Step 3: Cross multiply
    9,077.86x = 12,527.44 × 5,300.29
  4. Step 4: Simplify right side
    9,077.86x = 66,399,064.96
  5. Step 5: Solve for x
    x = 66,399,064.96/9,077.86
  6. Step 6: Final answer
    x = 7,314.40

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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.