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Finding the Fourth Proportional to 9,969.63, 13,658.46 and 9,595.95

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Solution

The fourth proportional to 9,969.63, 13,658.46 and 9,595.95 is: 13,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.63 : 13,658.46 = 9,595.95 : x
  2. Step 2: Convert to fraction form
    9,969.63/13,658.46 = 9,595.95/x
  3. Step 3: Cross multiply
    9,969.63x = 13,658.46 × 9,595.95
  4. Step 4: Simplify right side
    9,969.63x = 131,065,899.24
  5. Step 5: Solve for x
    x = 131,065,899.24/9,969.63
  6. Step 6: Final answer
    x = 13,146.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.