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Finding the Fourth Proportional to 9,774.23, 13,488.27 and 5,525.30

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Solution

The fourth proportional to 9,774.23, 13,488.27 and 5,525.30 is: 7,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.23 : 13,488.27 = 5,525.30 : x
  2. Step 2: Convert to fraction form
    9,774.23/13,488.27 = 5,525.30/x
  3. Step 3: Cross multiply
    9,774.23x = 13,488.27 × 5,525.30
  4. Step 4: Simplify right side
    9,774.23x = 74,526,670.79
  5. Step 5: Solve for x
    x = 74,526,670.79/9,774.23
  6. Step 6: Final answer
    x = 7,624.82

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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.