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Finding the Fourth Proportional to 7,062.30, 9,746.55 and 3,919.50

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Solution

The fourth proportional to 7,062.30, 9,746.55 and 3,919.50 is: 5,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.30 : 9,746.55 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    7,062.30/9,746.55 = 3,919.50/x
  3. Step 3: Cross multiply
    7,062.30x = 9,746.55 × 3,919.50
  4. Step 4: Simplify right side
    7,062.30x = 38,201,602.73
  5. Step 5: Solve for x
    x = 38,201,602.73/7,062.30
  6. Step 6: Final answer
    x = 5,409.23

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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.