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Finding the Fourth Proportional to 9,698.04, 13,364.52 and 6,898.68

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Solution

The fourth proportional to 9,698.04, 13,364.52 and 6,898.68 is: 9,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.04 : 13,364.52 = 6,898.68 : x
  2. Step 2: Convert to fraction form
    9,698.04/13,364.52 = 6,898.68/x
  3. Step 3: Cross multiply
    9,698.04x = 13,364.52 × 6,898.68
  4. Step 4: Simplify right side
    9,698.04x = 92,197,546.83
  5. Step 5: Solve for x
    x = 92,197,546.83/9,698.04
  6. Step 6: Final answer
    x = 9,506.82

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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.