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Finding the Fourth Proportional to 9,683.04, 13,370.42 and 7,890.76

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Solution

The fourth proportional to 9,683.04, 13,370.42 and 7,890.76 is: 10,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.04 : 13,370.42 = 7,890.76 : x
  2. Step 2: Convert to fraction form
    9,683.04/13,370.42 = 7,890.76/x
  3. Step 3: Cross multiply
    9,683.04x = 13,370.42 × 7,890.76
  4. Step 4: Simplify right side
    9,683.04x = 105,502,775.32
  5. Step 5: Solve for x
    x = 105,502,775.32/9,683.04
  6. Step 6: Final answer
    x = 10,895.63

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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.