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Finding the Fourth Proportional to 9,981.50, 14,972.45 and 6,701.00

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Solution

The fourth proportional to 9,981.50, 14,972.45 and 6,701.00 is: 10,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.50 : 14,972.45 = 6,701.00 : x
  2. Step 2: Convert to fraction form
    9,981.50/14,972.45 = 6,701.00/x
  3. Step 3: Cross multiply
    9,981.50x = 14,972.45 × 6,701.00
  4. Step 4: Simplify right side
    9,981.50x = 100,330,279.08
  5. Step 5: Solve for x
    x = 100,330,279.08/9,981.50
  6. Step 6: Final answer
    x = 10,051.63

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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.