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Finding the Fourth Proportional to 9,973.74, 13,770.37 and 7,700.95

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Solution

The fourth proportional to 9,973.74, 13,770.37 and 7,700.95 is: 10,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.74 : 13,770.37 = 7,700.95 : x
  2. Step 2: Convert to fraction form
    9,973.74/13,770.37 = 7,700.95/x
  3. Step 3: Cross multiply
    9,973.74x = 13,770.37 × 7,700.95
  4. Step 4: Simplify right side
    9,973.74x = 106,044,930.85
  5. Step 5: Solve for x
    x = 106,044,930.85/9,973.74
  6. Step 6: Final answer
    x = 10,632.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.