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Finding the Fourth Proportional to 9,475.28, 13,075.00 and 9,156.80

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Solution

The fourth proportional to 9,475.28, 13,075.00 and 9,156.80 is: 12,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.28 : 13,075.00 = 9,156.80 : x
  2. Step 2: Convert to fraction form
    9,475.28/13,075.00 = 9,156.80/x
  3. Step 3: Cross multiply
    9,475.28x = 13,075.00 × 9,156.80
  4. Step 4: Simplify right side
    9,475.28x = 119,725,147.76
  5. Step 5: Solve for x
    x = 119,725,147.76/9,475.28
  6. Step 6: Final answer
    x = 12,635.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.