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Finding the Fourth Proportional to 9,959.88, 14,941.62 and 4,113.30

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Solution

The fourth proportional to 9,959.88, 14,941.62 and 4,113.30 is: 6,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.88 : 14,941.62 = 4,113.30 : x
  2. Step 2: Convert to fraction form
    9,959.88/14,941.62 = 4,113.30/x
  3. Step 3: Cross multiply
    9,959.88x = 14,941.62 × 4,113.30
  4. Step 4: Simplify right side
    9,959.88x = 61,459,365.55
  5. Step 5: Solve for x
    x = 61,459,365.55/9,959.88
  6. Step 6: Final answer
    x = 6,170.69

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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.