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Finding the Fourth Proportional to 6,870.42, 9,480.24 and 4,038.48

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Solution

The fourth proportional to 6,870.42, 9,480.24 and 4,038.48 is: 5,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.42 : 9,480.24 = 4,038.48 : x
  2. Step 2: Convert to fraction form
    6,870.42/9,480.24 = 4,038.48/x
  3. Step 3: Cross multiply
    6,870.42x = 9,480.24 × 4,038.48
  4. Step 4: Simplify right side
    6,870.42x = 38,285,759.64
  5. Step 5: Solve for x
    x = 38,285,759.64/6,870.42
  6. Step 6: Final answer
    x = 5,572.55

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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.