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Finding the Fourth Proportional to 9,926.64, 14,892 and 3,000.56

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Solution

The fourth proportional to 9,926.64, 14,892 and 3,000.56 is: 4,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.64 : 14,892 = 3,000.56 : x
  2. Step 2: Convert to fraction form
    9,926.64/14,892 = 3,000.56/x
  3. Step 3: Cross multiply
    9,926.64x = 14,892 × 3,000.56
  4. Step 4: Simplify right side
    9,926.64x = 44,684,339.52
  5. Step 5: Solve for x
    x = 44,684,339.52/9,926.64
  6. Step 6: Final answer
    x = 4,501.46

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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.