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Finding the Fourth Proportional to 9,669.10, 14,509.14 and 5,765.32

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Solution

The fourth proportional to 9,669.10, 14,509.14 and 5,765.32 is: 8,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.10 : 14,509.14 = 5,765.32 : x
  2. Step 2: Convert to fraction form
    9,669.10/14,509.14 = 5,765.32/x
  3. Step 3: Cross multiply
    9,669.10x = 14,509.14 × 5,765.32
  4. Step 4: Simplify right side
    9,669.10x = 83,649,835.02
  5. Step 5: Solve for x
    x = 83,649,835.02/9,669.10
  6. Step 6: Final answer
    x = 8,651.25

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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.