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Finding the Fourth Proportional to 9,797.19, 13,520.12 and 5,320.95

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Solution

The fourth proportional to 9,797.19, 13,520.12 and 5,320.95 is: 7,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.19 : 13,520.12 = 5,320.95 : x
  2. Step 2: Convert to fraction form
    9,797.19/13,520.12 = 5,320.95/x
  3. Step 3: Cross multiply
    9,797.19x = 13,520.12 × 5,320.95
  4. Step 4: Simplify right side
    9,797.19x = 71,939,828.22
  5. Step 5: Solve for x
    x = 71,939,828.22/9,797.19
  6. Step 6: Final answer
    x = 7,342.90

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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.