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Finding the Fourth Proportional to 9,866.34, 13,615.02 and 5,389.23

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Solution

The fourth proportional to 9,866.34, 13,615.02 and 5,389.23 is: 7,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.34 : 13,615.02 = 5,389.23 : x
  2. Step 2: Convert to fraction form
    9,866.34/13,615.02 = 5,389.23/x
  3. Step 3: Cross multiply
    9,866.34x = 13,615.02 × 5,389.23
  4. Step 4: Simplify right side
    9,866.34x = 73,374,525.29
  5. Step 5: Solve for x
    x = 73,374,525.29/9,866.34
  6. Step 6: Final answer
    x = 7,436.85

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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.