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Finding the Fourth Proportional to 9,907.29, 13,661.08 and 6,316.56

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Solution

The fourth proportional to 9,907.29, 13,661.08 and 6,316.56 is: 8,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.29 : 13,661.08 = 6,316.56 : x
  2. Step 2: Convert to fraction form
    9,907.29/13,661.08 = 6,316.56/x
  3. Step 3: Cross multiply
    9,907.29x = 13,661.08 × 6,316.56
  4. Step 4: Simplify right side
    9,907.29x = 86,291,015.69
  5. Step 5: Solve for x
    x = 86,291,015.69/9,907.29
  6. Step 6: Final answer
    x = 8,709.85

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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.