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Finding the Fourth Proportional to 9,907.04, 13,671.24 and 5,716.64

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Solution

The fourth proportional to 9,907.04, 13,671.24 and 5,716.64 is: 7,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.04 : 13,671.24 = 5,716.64 : x
  2. Step 2: Convert to fraction form
    9,907.04/13,671.24 = 5,716.64/x
  3. Step 3: Cross multiply
    9,907.04x = 13,671.24 × 5,716.64
  4. Step 4: Simplify right side
    9,907.04x = 78,153,557.43
  5. Step 5: Solve for x
    x = 78,153,557.43/9,907.04
  6. Step 6: Final answer
    x = 7,888.69

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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.