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Finding the Fourth Proportional to 9,698.70, 13,385.96 and 5,719.58

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Solution

The fourth proportional to 9,698.70, 13,385.96 and 5,719.58 is: 7,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.70 : 13,385.96 = 5,719.58 : x
  2. Step 2: Convert to fraction form
    9,698.70/13,385.96 = 5,719.58/x
  3. Step 3: Cross multiply
    9,698.70x = 13,385.96 × 5,719.58
  4. Step 4: Simplify right side
    9,698.70x = 76,561,973.57
  5. Step 5: Solve for x
    x = 76,561,973.57/9,698.70
  6. Step 6: Final answer
    x = 7,894.04

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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.