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Finding the Fourth Proportional to 9,774.82, 13,486.08 and 5,525.47

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Solution

The fourth proportional to 9,774.82, 13,486.08 and 5,525.47 is: 7,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.82 : 13,486.08 = 5,525.47 : x
  2. Step 2: Convert to fraction form
    9,774.82/13,486.08 = 5,525.47/x
  3. Step 3: Cross multiply
    9,774.82x = 13,486.08 × 5,525.47
  4. Step 4: Simplify right side
    9,774.82x = 74,516,930.46
  5. Step 5: Solve for x
    x = 74,516,930.46/9,774.82
  6. Step 6: Final answer
    x = 7,623.36

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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.