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Finding the Fourth Proportional to 9,075.18, 12,523.76 and 5,096.19

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Solution

The fourth proportional to 9,075.18, 12,523.76 and 5,096.19 is: 7,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.18 : 12,523.76 = 5,096.19 : x
  2. Step 2: Convert to fraction form
    9,075.18/12,523.76 = 5,096.19/x
  3. Step 3: Cross multiply
    9,075.18x = 12,523.76 × 5,096.19
  4. Step 4: Simplify right side
    9,075.18x = 63,823,460.47
  5. Step 5: Solve for x
    x = 63,823,460.47/9,075.18
  6. Step 6: Final answer
    x = 7,032.75

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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.