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Finding the Fourth Proportional to 9,869.57, 13,615.64 and 5,888.37

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Solution

The fourth proportional to 9,869.57, 13,615.64 and 5,888.37 is: 8,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.57 : 13,615.64 = 5,888.37 : x
  2. Step 2: Convert to fraction form
    9,869.57/13,615.64 = 5,888.37/x
  3. Step 3: Cross multiply
    9,869.57x = 13,615.64 × 5,888.37
  4. Step 4: Simplify right side
    9,869.57x = 80,173,914.95
  5. Step 5: Solve for x
    x = 80,173,914.95/9,869.57
  6. Step 6: Final answer
    x = 8,123.34

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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.