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Finding the Fourth Proportional to 9,605.34, 13,273.74 and 7,836.30

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Solution

The fourth proportional to 9,605.34, 13,273.74 and 7,836.30 is: 10,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.34 : 13,273.74 = 7,836.30 : x
  2. Step 2: Convert to fraction form
    9,605.34/13,273.74 = 7,836.30/x
  3. Step 3: Cross multiply
    9,605.34x = 13,273.74 × 7,836.30
  4. Step 4: Simplify right side
    9,605.34x = 104,017,008.76
  5. Step 5: Solve for x
    x = 104,017,008.76/9,605.34
  6. Step 6: Final answer
    x = 10,829.08

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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.