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Finding the Fourth Proportional to 9,972.64, 14,950.32 and 5,860

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Solution

The fourth proportional to 9,972.64, 14,950.32 and 5,860 is: 8,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.64 : 14,950.32 = 5,860 : x
  2. Step 2: Convert to fraction form
    9,972.64/14,950.32 = 5,860/x
  3. Step 3: Cross multiply
    9,972.64x = 14,950.32 × 5,860
  4. Step 4: Simplify right side
    9,972.64x = 87,608,875.20
  5. Step 5: Solve for x
    x = 87,608,875.20/9,972.64
  6. Step 6: Final answer
    x = 8,784.92

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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.