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Finding the Fourth Proportional to 6,848.74, 9,454.98 and 4,749.22

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Solution

The fourth proportional to 6,848.74, 9,454.98 and 4,749.22 is: 6,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.74 : 9,454.98 = 4,749.22 : x
  2. Step 2: Convert to fraction form
    6,848.74/9,454.98 = 4,749.22/x
  3. Step 3: Cross multiply
    6,848.74x = 9,454.98 × 4,749.22
  4. Step 4: Simplify right side
    6,848.74x = 44,903,780.12
  5. Step 5: Solve for x
    x = 44,903,780.12/6,848.74
  6. Step 6: Final answer
    x = 6,556.50

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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.