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Finding the Fourth Proportional to 7,000.30, 9,657.67 and 4,014.54

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Solution

The fourth proportional to 7,000.30, 9,657.67 and 4,014.54 is: 5,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.30 : 9,657.67 = 4,014.54 : x
  2. Step 2: Convert to fraction form
    7,000.30/9,657.67 = 4,014.54/x
  3. Step 3: Cross multiply
    7,000.30x = 9,657.67 × 4,014.54
  4. Step 4: Simplify right side
    7,000.30x = 38,771,102.52
  5. Step 5: Solve for x
    x = 38,771,102.52/7,000.30
  6. Step 6: Final answer
    x = 5,538.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.