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Finding the Fourth Proportional to 9,693.57, 13,394.70 and 7,574.61

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Solution

The fourth proportional to 9,693.57, 13,394.70 and 7,574.61 is: 10,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.57 : 13,394.70 = 7,574.61 : x
  2. Step 2: Convert to fraction form
    9,693.57/13,394.70 = 7,574.61/x
  3. Step 3: Cross multiply
    9,693.57x = 13,394.70 × 7,574.61
  4. Step 4: Simplify right side
    9,693.57x = 101,459,628.57
  5. Step 5: Solve for x
    x = 101,459,628.57/9,693.57
  6. Step 6: Final answer
    x = 10,466.69

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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.