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Finding the Fourth Proportional to 9,677.16, 13,353.63 and 5,370.36

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Solution

The fourth proportional to 9,677.16, 13,353.63 and 5,370.36 is: 7,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.16 : 13,353.63 = 5,370.36 : x
  2. Step 2: Convert to fraction form
    9,677.16/13,353.63 = 5,370.36/x
  3. Step 3: Cross multiply
    9,677.16x = 13,353.63 × 5,370.36
  4. Step 4: Simplify right side
    9,677.16x = 71,713,800.41
  5. Step 5: Solve for x
    x = 71,713,800.41/9,677.16
  6. Step 6: Final answer
    x = 7,410.62

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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.