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Finding the Fourth Proportional to 9,886.27, 13,642.72 and 5,409.72

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Solution

The fourth proportional to 9,886.27, 13,642.72 and 5,409.72 is: 7,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.27 : 13,642.72 = 5,409.72 : x
  2. Step 2: Convert to fraction form
    9,886.27/13,642.72 = 5,409.72/x
  3. Step 3: Cross multiply
    9,886.27x = 13,642.72 × 5,409.72
  4. Step 4: Simplify right side
    9,886.27x = 73,803,337.72
  5. Step 5: Solve for x
    x = 73,803,337.72/9,886.27
  6. Step 6: Final answer
    x = 7,465.23

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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.