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Finding the Fourth Proportional to 9,886.42, 14,825.31 and 2,959.30

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Solution

The fourth proportional to 9,886.42, 14,825.31 and 2,959.30 is: 4,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.42 : 14,825.31 = 2,959.30 : x
  2. Step 2: Convert to fraction form
    9,886.42/14,825.31 = 2,959.30/x
  3. Step 3: Cross multiply
    9,886.42x = 14,825.31 × 2,959.30
  4. Step 4: Simplify right side
    9,886.42x = 43,872,513.95
  5. Step 5: Solve for x
    x = 43,872,513.95/9,886.42
  6. Step 6: Final answer
    x = 4,437.65

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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.