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Finding the Fourth Proportional to 7,219.32, 9,961.93 and 4,032.10

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Solution

The fourth proportional to 7,219.32, 9,961.93 and 4,032.10 is: 5,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.32 : 9,961.93 = 4,032.10 : x
  2. Step 2: Convert to fraction form
    7,219.32/9,961.93 = 4,032.10/x
  3. Step 3: Cross multiply
    7,219.32x = 9,961.93 × 4,032.10
  4. Step 4: Simplify right side
    7,219.32x = 40,167,515.45
  5. Step 5: Solve for x
    x = 40,167,515.45/7,219.32
  6. Step 6: Final answer
    x = 5,563.89

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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.