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Finding the Fourth Proportional to 9,925.64, 14,885.47 and 4,000.62

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Solution

The fourth proportional to 9,925.64, 14,885.47 and 4,000.62 is: 5,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.64 : 14,885.47 = 4,000.62 : x
  2. Step 2: Convert to fraction form
    9,925.64/14,885.47 = 4,000.62/x
  3. Step 3: Cross multiply
    9,925.64x = 14,885.47 × 4,000.62
  4. Step 4: Simplify right side
    9,925.64x = 59,551,169.81
  5. Step 5: Solve for x
    x = 59,551,169.81/9,925.64
  6. Step 6: Final answer
    x = 5,999.73

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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.