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Finding the Fourth Proportional to 9,883.42, 14,825.36 and 4,335.66

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Solution

The fourth proportional to 9,883.42, 14,825.36 and 4,335.66 is: 6,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.42 : 14,825.36 = 4,335.66 : x
  2. Step 2: Convert to fraction form
    9,883.42/14,825.36 = 4,335.66/x
  3. Step 3: Cross multiply
    9,883.42x = 14,825.36 × 4,335.66
  4. Step 4: Simplify right side
    9,883.42x = 64,277,731.18
  5. Step 5: Solve for x
    x = 64,277,731.18/9,883.42
  6. Step 6: Final answer
    x = 6,503.59

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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.