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Finding the Fourth Proportional to 9,972.72, 14,959.07 and 4,706.00

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Solution

The fourth proportional to 9,972.72, 14,959.07 and 4,706.00 is: 7,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.72 : 14,959.07 = 4,706.00 : x
  2. Step 2: Convert to fraction form
    9,972.72/14,959.07 = 4,706.00/x
  3. Step 3: Cross multiply
    9,972.72x = 14,959.07 × 4,706.00
  4. Step 4: Simplify right side
    9,972.72x = 70,397,285.09
  5. Step 5: Solve for x
    x = 70,397,285.09/9,972.72
  6. Step 6: Final answer
    x = 7,058.99

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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.