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Finding the Fourth Proportional to 9,554.34, 13,195 and 6,577.86

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Solution

The fourth proportional to 9,554.34, 13,195 and 6,577.86 is: 9,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.34 : 13,195 = 6,577.86 : x
  2. Step 2: Convert to fraction form
    9,554.34/13,195 = 6,577.86/x
  3. Step 3: Cross multiply
    9,554.34x = 13,195 × 6,577.86
  4. Step 4: Simplify right side
    9,554.34x = 86,794,862.70
  5. Step 5: Solve for x
    x = 86,794,862.70/9,554.34
  6. Step 6: Final answer
    x = 9,084.34

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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.