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Finding the Fourth Proportional to 9,307.44, 13,957.47 and 4,109.67

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Solution

The fourth proportional to 9,307.44, 13,957.47 and 4,109.67 is: 6,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.44 : 13,957.47 = 4,109.67 : x
  2. Step 2: Convert to fraction form
    9,307.44/13,957.47 = 4,109.67/x
  3. Step 3: Cross multiply
    9,307.44x = 13,957.47 × 4,109.67
  4. Step 4: Simplify right side
    9,307.44x = 57,360,595.73
  5. Step 5: Solve for x
    x = 57,360,595.73/9,307.44
  6. Step 6: Final answer
    x = 6,162.88

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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.