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Finding the Fourth Proportional to 9,886.32, 14,837.04 and 7,290

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Solution

The fourth proportional to 9,886.32, 14,837.04 and 7,290 is: 10,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.32 : 14,837.04 = 7,290 : x
  2. Step 2: Convert to fraction form
    9,886.32/14,837.04 = 7,290/x
  3. Step 3: Cross multiply
    9,886.32x = 14,837.04 × 7,290
  4. Step 4: Simplify right side
    9,886.32x = 108,162,021.60
  5. Step 5: Solve for x
    x = 108,162,021.60/9,886.32
  6. Step 6: Final answer
    x = 10,940.57

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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.