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Finding the Fourth Proportional to 9,920.34, 14,872.32 and 4,987.44

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Solution

The fourth proportional to 9,920.34, 14,872.32 and 4,987.44 is: 7,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.34 : 14,872.32 = 4,987.44 : x
  2. Step 2: Convert to fraction form
    9,920.34/14,872.32 = 4,987.44/x
  3. Step 3: Cross multiply
    9,920.34x = 14,872.32 × 4,987.44
  4. Step 4: Simplify right side
    9,920.34x = 74,174,803.66
  5. Step 5: Solve for x
    x = 74,174,803.66/9,920.34
  6. Step 6: Final answer
    x = 7,477.04

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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.