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Finding the Fourth Proportional to 6,592.86, 9,094.05 and 4,075.74

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Solution

The fourth proportional to 6,592.86, 9,094.05 and 4,075.74 is: 5,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.86 : 9,094.05 = 4,075.74 : x
  2. Step 2: Convert to fraction form
    6,592.86/9,094.05 = 4,075.74/x
  3. Step 3: Cross multiply
    6,592.86x = 9,094.05 × 4,075.74
  4. Step 4: Simplify right side
    6,592.86x = 37,064,983.35
  5. Step 5: Solve for x
    x = 37,064,983.35/6,592.86
  6. Step 6: Final answer
    x = 5,621.99

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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.