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Finding the Fourth Proportional to 9,902.56, 14,854.56 and 4,059.52

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Solution

The fourth proportional to 9,902.56, 14,854.56 and 4,059.52 is: 6,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.56 : 14,854.56 = 4,059.52 : x
  2. Step 2: Convert to fraction form
    9,902.56/14,854.56 = 4,059.52/x
  3. Step 3: Cross multiply
    9,902.56x = 14,854.56 × 4,059.52
  4. Step 4: Simplify right side
    9,902.56x = 60,302,383.41
  5. Step 5: Solve for x
    x = 60,302,383.41/9,902.56
  6. Step 6: Final answer
    x = 6,089.58

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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.