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Finding the Fourth Proportional to 9,931.37, 14,892.34 and 5,772.58

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Solution

The fourth proportional to 9,931.37, 14,892.34 and 5,772.58 is: 8,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.37 : 14,892.34 = 5,772.58 : x
  2. Step 2: Convert to fraction form
    9,931.37/14,892.34 = 5,772.58/x
  3. Step 3: Cross multiply
    9,931.37x = 14,892.34 × 5,772.58
  4. Step 4: Simplify right side
    9,931.37x = 85,967,224.04
  5. Step 5: Solve for x
    x = 85,967,224.04/9,931.37
  6. Step 6: Final answer
    x = 8,656.13

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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.