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Finding the Fourth Proportional to 7,056.98, 9,738.90 and 3,870.56

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Solution

The fourth proportional to 7,056.98, 9,738.90 and 3,870.56 is: 5,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.98 : 9,738.90 = 3,870.56 : x
  2. Step 2: Convert to fraction form
    7,056.98/9,738.90 = 3,870.56/x
  3. Step 3: Cross multiply
    7,056.98x = 9,738.90 × 3,870.56
  4. Step 4: Simplify right side
    7,056.98x = 37,695,020.47
  5. Step 5: Solve for x
    x = 37,695,020.47/7,056.98
  6. Step 6: Final answer
    x = 5,341.53

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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.