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Finding the Fourth Proportional to 9,886.32, 14,820.84 and 3,726

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Solution

The fourth proportional to 9,886.32, 14,820.84 and 3,726 is: 5,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.32 : 14,820.84 = 3,726 : x
  2. Step 2: Convert to fraction form
    9,886.32/14,820.84 = 3,726/x
  3. Step 3: Cross multiply
    9,886.32x = 14,820.84 × 3,726
  4. Step 4: Simplify right side
    9,886.32x = 55,222,449.84
  5. Step 5: Solve for x
    x = 55,222,449.84/9,886.32
  6. Step 6: Final answer
    x = 5,585.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.