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Finding the Fourth Proportional to 6,536.96, 9,022.08 and 4,774.40

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Solution

The fourth proportional to 6,536.96, 9,022.08 and 4,774.40 is: 6,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.96 : 9,022.08 = 4,774.40 : x
  2. Step 2: Convert to fraction form
    6,536.96/9,022.08 = 4,774.40/x
  3. Step 3: Cross multiply
    6,536.96x = 9,022.08 × 4,774.40
  4. Step 4: Simplify right side
    6,536.96x = 43,075,018.75
  5. Step 5: Solve for x
    x = 43,075,018.75/6,536.96
  6. Step 6: Final answer
    x = 6,589.46

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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.