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Finding the Fourth Proportional to 7,056.47, 9,738.99 and 4,071.69

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Solution

The fourth proportional to 7,056.47, 9,738.99 and 4,071.69 is: 5,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.47 : 9,738.99 = 4,071.69 : x
  2. Step 2: Convert to fraction form
    7,056.47/9,738.99 = 4,071.69/x
  3. Step 3: Cross multiply
    7,056.47x = 9,738.99 × 4,071.69
  4. Step 4: Simplify right side
    7,056.47x = 39,654,148.19
  5. Step 5: Solve for x
    x = 39,654,148.19/7,056.47
  6. Step 6: Final answer
    x = 5,619.55

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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.