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Finding the Fourth Proportional to 9,907.16, 14,866.46 and 3,671.54

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Solution

The fourth proportional to 9,907.16, 14,866.46 and 3,671.54 is: 5,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.16 : 14,866.46 = 3,671.54 : x
  2. Step 2: Convert to fraction form
    9,907.16/14,866.46 = 3,671.54/x
  3. Step 3: Cross multiply
    9,907.16x = 14,866.46 × 3,671.54
  4. Step 4: Simplify right side
    9,907.16x = 54,582,709.86
  5. Step 5: Solve for x
    x = 54,582,709.86/9,907.16
  6. Step 6: Final answer
    x = 5,509.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.