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Finding the Fourth Proportional to 9,595.20, 14,384.80 and 4,052.80

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Solution

The fourth proportional to 9,595.20, 14,384.80 and 4,052.80 is: 6,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.20 : 14,384.80 = 4,052.80 : x
  2. Step 2: Convert to fraction form
    9,595.20/14,384.80 = 4,052.80/x
  3. Step 3: Cross multiply
    9,595.20x = 14,384.80 × 4,052.80
  4. Step 4: Simplify right side
    9,595.20x = 58,298,717.44
  5. Step 5: Solve for x
    x = 58,298,717.44/9,595.20
  6. Step 6: Final answer
    x = 6,075.82

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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.