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Finding the Fourth Proportional to 9,053.92, 12,494.46 and 5,075.20

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Solution

The fourth proportional to 9,053.92, 12,494.46 and 5,075.20 is: 7,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.92 : 12,494.46 = 5,075.20 : x
  2. Step 2: Convert to fraction form
    9,053.92/12,494.46 = 5,075.20/x
  3. Step 3: Cross multiply
    9,053.92x = 12,494.46 × 5,075.20
  4. Step 4: Simplify right side
    9,053.92x = 63,411,883.39
  5. Step 5: Solve for x
    x = 63,411,883.39/9,053.92
  6. Step 6: Final answer
    x = 7,003.80

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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.