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Finding the Fourth Proportional to 6,999.42, 9,657.45 and 5,670.63

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Solution

The fourth proportional to 6,999.42, 9,657.45 and 5,670.63 is: 7,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.42 : 9,657.45 = 5,670.63 : x
  2. Step 2: Convert to fraction form
    6,999.42/9,657.45 = 5,670.63/x
  3. Step 3: Cross multiply
    6,999.42x = 9,657.45 × 5,670.63
  4. Step 4: Simplify right side
    6,999.42x = 54,763,825.69
  5. Step 5: Solve for x
    x = 54,763,825.69/6,999.42
  6. Step 6: Final answer
    x = 7,824.05

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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.