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Finding the Fourth Proportional to 9,698.09, 13,378.63 and 6,341.05

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Solution

The fourth proportional to 9,698.09, 13,378.63 and 6,341.05 is: 8,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.09 : 13,378.63 = 6,341.05 : x
  2. Step 2: Convert to fraction form
    9,698.09/13,378.63 = 6,341.05/x
  3. Step 3: Cross multiply
    9,698.09x = 13,378.63 × 6,341.05
  4. Step 4: Simplify right side
    9,698.09x = 84,834,561.76
  5. Step 5: Solve for x
    x = 84,834,561.76/9,698.09
  6. Step 6: Final answer
    x = 8,747.55

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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.