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Finding the Fourth Proportional to 9,957.90, 14,946.09 and 5,031

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Solution

The fourth proportional to 9,957.90, 14,946.09 and 5,031 is: 7,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.90 : 14,946.09 = 5,031 : x
  2. Step 2: Convert to fraction form
    9,957.90/14,946.09 = 5,031/x
  3. Step 3: Cross multiply
    9,957.90x = 14,946.09 × 5,031
  4. Step 4: Simplify right side
    9,957.90x = 75,193,778.79
  5. Step 5: Solve for x
    x = 75,193,778.79/9,957.90
  6. Step 6: Final answer
    x = 7,551.17

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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.