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Finding the Fourth Proportional to 9,785.51, 13,597.68 and 9,683.90

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Solution

The fourth proportional to 9,785.51, 13,597.68 and 9,683.90 is: 13,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.51 : 13,597.68 = 9,683.90 : x
  2. Step 2: Convert to fraction form
    9,785.51/13,597.68 = 9,683.90/x
  3. Step 3: Cross multiply
    9,785.51x = 13,597.68 × 9,683.90
  4. Step 4: Simplify right side
    9,785.51x = 131,678,573.35
  5. Step 5: Solve for x
    x = 131,678,573.35/9,785.51
  6. Step 6: Final answer
    x = 13,456.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.