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Finding the Fourth Proportional to 9,774.85, 13,489.56 and 5,526.07

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Solution

The fourth proportional to 9,774.85, 13,489.56 and 5,526.07 is: 7,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.85 : 13,489.56 = 5,526.07 : x
  2. Step 2: Convert to fraction form
    9,774.85/13,489.56 = 5,526.07/x
  3. Step 3: Cross multiply
    9,774.85x = 13,489.56 × 5,526.07
  4. Step 4: Simplify right side
    9,774.85x = 74,544,310.53
  5. Step 5: Solve for x
    x = 74,544,310.53/9,774.85
  6. Step 6: Final answer
    x = 7,626.13

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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.