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Finding the Fourth Proportional to 6,590.84, 9,094.74 and 4,462.04

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Solution

The fourth proportional to 6,590.84, 9,094.74 and 4,462.04 is: 6,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.84 : 9,094.74 = 4,462.04 : x
  2. Step 2: Convert to fraction form
    6,590.84/9,094.74 = 4,462.04/x
  3. Step 3: Cross multiply
    6,590.84x = 9,094.74 × 4,462.04
  4. Step 4: Simplify right side
    6,590.84x = 40,581,093.67
  5. Step 5: Solve for x
    x = 40,581,093.67/6,590.84
  6. Step 6: Final answer
    x = 6,157.20

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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.