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Finding the Fourth Proportional to 6,416.32, 9,623.02 and 2,032.96

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Solution

The fourth proportional to 6,416.32, 9,623.02 and 2,032.96 is: 3,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.32 : 9,623.02 = 2,032.96 : x
  2. Step 2: Convert to fraction form
    6,416.32/9,623.02 = 2,032.96/x
  3. Step 3: Cross multiply
    6,416.32x = 9,623.02 × 2,032.96
  4. Step 4: Simplify right side
    6,416.32x = 19,563,214.74
  5. Step 5: Solve for x
    x = 19,563,214.74/6,416.32
  6. Step 6: Final answer
    x = 3,048.98

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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.