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Finding the Fourth Proportional to 9,792.02, 14,693.10 and 4,861.55

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Solution

The fourth proportional to 9,792.02, 14,693.10 and 4,861.55 is: 7,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.02 : 14,693.10 = 4,861.55 : x
  2. Step 2: Convert to fraction form
    9,792.02/14,693.10 = 4,861.55/x
  3. Step 3: Cross multiply
    9,792.02x = 14,693.10 × 4,861.55
  4. Step 4: Simplify right side
    9,792.02x = 71,431,258.81
  5. Step 5: Solve for x
    x = 71,431,258.81/9,792.02
  6. Step 6: Final answer
    x = 7,294.84

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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.