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Finding the Fourth Proportional to 9,594.58, 14,382.66 and 4,052.76

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Solution

The fourth proportional to 9,594.58, 14,382.66 and 4,052.76 is: 6,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.58 : 14,382.66 = 4,052.76 : x
  2. Step 2: Convert to fraction form
    9,594.58/14,382.66 = 4,052.76/x
  3. Step 3: Cross multiply
    9,594.58x = 14,382.66 × 4,052.76
  4. Step 4: Simplify right side
    9,594.58x = 58,289,469.14
  5. Step 5: Solve for x
    x = 58,289,469.14/9,594.58
  6. Step 6: Final answer
    x = 6,075.25

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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.