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Finding the Fourth Proportional to 9,957.40, 14,937.90 and 5,014.60

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Solution

The fourth proportional to 9,957.40, 14,937.90 and 5,014.60 is: 7,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.40 : 14,937.90 = 5,014.60 : x
  2. Step 2: Convert to fraction form
    9,957.40/14,937.90 = 5,014.60/x
  3. Step 3: Cross multiply
    9,957.40x = 14,937.90 × 5,014.60
  4. Step 4: Simplify right side
    9,957.40x = 74,907,593.34
  5. Step 5: Solve for x
    x = 74,907,593.34/9,957.40
  6. Step 6: Final answer
    x = 7,522.81

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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.