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Finding the Fourth Proportional to 9,683.94, 13,362.06 and 6,501.86

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Solution

The fourth proportional to 9,683.94, 13,362.06 and 6,501.86 is: 8,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.94 : 13,362.06 = 6,501.86 : x
  2. Step 2: Convert to fraction form
    9,683.94/13,362.06 = 6,501.86/x
  3. Step 3: Cross multiply
    9,683.94x = 13,362.06 × 6,501.86
  4. Step 4: Simplify right side
    9,683.94x = 86,878,176.62
  5. Step 5: Solve for x
    x = 86,878,176.62/9,683.94
  6. Step 6: Final answer
    x = 8,971.37

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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.