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Finding the Fourth Proportional to 9,075.80, 13,615.64 and 3,152.87

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Solution

The fourth proportional to 9,075.80, 13,615.64 and 3,152.87 is: 4,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.80 : 13,615.64 = 3,152.87 : x
  2. Step 2: Convert to fraction form
    9,075.80/13,615.64 = 3,152.87/x
  3. Step 3: Cross multiply
    9,075.80x = 13,615.64 × 3,152.87
  4. Step 4: Simplify right side
    9,075.80x = 42,928,342.89
  5. Step 5: Solve for x
    x = 42,928,342.89/9,075.80
  6. Step 6: Final answer
    x = 4,729.98

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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.