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Finding the Fourth Proportional to 6,905.42, 9,533.01 and 4,679.06

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Solution

The fourth proportional to 6,905.42, 9,533.01 and 4,679.06 is: 6,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.42 : 9,533.01 = 4,679.06 : x
  2. Step 2: Convert to fraction form
    6,905.42/9,533.01 = 4,679.06/x
  3. Step 3: Cross multiply
    6,905.42x = 9,533.01 × 4,679.06
  4. Step 4: Simplify right side
    6,905.42x = 44,605,525.77
  5. Step 5: Solve for x
    x = 44,605,525.77/6,905.42
  6. Step 6: Final answer
    x = 6,459.49

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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.