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Finding the Fourth Proportional to 9,576.77, 14,360.58 and 4,029.08

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Solution

The fourth proportional to 9,576.77, 14,360.58 and 4,029.08 is: 6,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.77 : 14,360.58 = 4,029.08 : x
  2. Step 2: Convert to fraction form
    9,576.77/14,360.58 = 4,029.08/x
  3. Step 3: Cross multiply
    9,576.77x = 14,360.58 × 4,029.08
  4. Step 4: Simplify right side
    9,576.77x = 57,859,853.86
  5. Step 5: Solve for x
    x = 57,859,853.86/9,576.77
  6. Step 6: Final answer
    x = 6,041.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.