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Finding the Fourth Proportional to 8,927.34, 13,395.48 and 4,000.50

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Solution

The fourth proportional to 8,927.34, 13,395.48 and 4,000.50 is: 6,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.34 : 13,395.48 = 4,000.50 : x
  2. Step 2: Convert to fraction form
    8,927.34/13,395.48 = 4,000.50/x
  3. Step 3: Cross multiply
    8,927.34x = 13,395.48 × 4,000.50
  4. Step 4: Simplify right side
    8,927.34x = 53,588,617.74
  5. Step 5: Solve for x
    x = 53,588,617.74/8,927.34
  6. Step 6: Final answer
    x = 6,002.75

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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.