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Finding the Fourth Proportional to 9,972, 14,931.84 and 6,861.60

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Solution

The fourth proportional to 9,972, 14,931.84 and 6,861.60 is: 10,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 14,931.84 = 6,861.60 : x
  2. Step 2: Convert to fraction form
    9,972/14,931.84 = 6,861.60/x
  3. Step 3: Cross multiply
    9,972x = 14,931.84 × 6,861.60
  4. Step 4: Simplify right side
    9,972x = 102,456,313.34
  5. Step 5: Solve for x
    x = 102,456,313.34/9,972
  6. Step 6: Final answer
    x = 10,274.40

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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.