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Finding the Fourth Proportional to 9,075.65, 13,615.19 and 3,152.30

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Solution

The fourth proportional to 9,075.65, 13,615.19 and 3,152.30 is: 4,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.65 : 13,615.19 = 3,152.30 : x
  2. Step 2: Convert to fraction form
    9,075.65/13,615.19 = 3,152.30/x
  3. Step 3: Cross multiply
    9,075.65x = 13,615.19 × 3,152.30
  4. Step 4: Simplify right side
    9,075.65x = 42,919,079.60
  5. Step 5: Solve for x
    x = 42,919,079.60/9,075.65
  6. Step 6: Final answer
    x = 4,729.04

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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.