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Finding the Fourth Proportional to 7,235.32, 9,984.33 and 4,048

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Solution

The fourth proportional to 7,235.32, 9,984.33 and 4,048 is: 5,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.32 : 9,984.33 = 4,048 : x
  2. Step 2: Convert to fraction form
    7,235.32/9,984.33 = 4,048/x
  3. Step 3: Cross multiply
    7,235.32x = 9,984.33 × 4,048
  4. Step 4: Simplify right side
    7,235.32x = 40,416,567.84
  5. Step 5: Solve for x
    x = 40,416,567.84/7,235.32
  6. Step 6: Final answer
    x = 5,586.01

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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.