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Finding the Fourth Proportional to 6,575.76, 9,075.46 and 4,186

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Solution

The fourth proportional to 6,575.76, 9,075.46 and 4,186 is: 5,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.76 : 9,075.46 = 4,186 : x
  2. Step 2: Convert to fraction form
    6,575.76/9,075.46 = 4,186/x
  3. Step 3: Cross multiply
    6,575.76x = 9,075.46 × 4,186
  4. Step 4: Simplify right side
    6,575.76x = 37,989,875.56
  5. Step 5: Solve for x
    x = 37,989,875.56/6,575.76
  6. Step 6: Final answer
    x = 5,777.26

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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.