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Finding the Fourth Proportional to 9,605.35, 13,254.98 and 7,086.56

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Solution

The fourth proportional to 9,605.35, 13,254.98 and 7,086.56 is: 9,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.35 : 13,254.98 = 7,086.56 : x
  2. Step 2: Convert to fraction form
    9,605.35/13,254.98 = 7,086.56/x
  3. Step 3: Cross multiply
    9,605.35x = 13,254.98 × 7,086.56
  4. Step 4: Simplify right side
    9,605.35x = 93,932,109.36
  5. Step 5: Solve for x
    x = 93,932,109.36/9,605.35
  6. Step 6: Final answer
    x = 9,779.14

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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.