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Finding the Fourth Proportional to 9,907.12, 13,671.82 and 5,715.37

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Solution

The fourth proportional to 9,907.12, 13,671.82 and 5,715.37 is: 7,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.12 : 13,671.82 = 5,715.37 : x
  2. Step 2: Convert to fraction form
    9,907.12/13,671.82 = 5,715.37/x
  3. Step 3: Cross multiply
    9,907.12x = 13,671.82 × 5,715.37
  4. Step 4: Simplify right side
    9,907.12x = 78,139,509.87
  5. Step 5: Solve for x
    x = 78,139,509.87/9,907.12
  6. Step 6: Final answer
    x = 7,887.21

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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.