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Finding the Fourth Proportional to 9,075.30, 12,524.10 and 5,096.70

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Solution

The fourth proportional to 9,075.30, 12,524.10 and 5,096.70 is: 7,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.30 : 12,524.10 = 5,096.70 : x
  2. Step 2: Convert to fraction form
    9,075.30/12,524.10 = 5,096.70/x
  3. Step 3: Cross multiply
    9,075.30x = 12,524.10 × 5,096.70
  4. Step 4: Simplify right side
    9,075.30x = 63,831,580.47
  5. Step 5: Solve for x
    x = 63,831,580.47/9,075.30
  6. Step 6: Final answer
    x = 7,033.55

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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.