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Finding the Fourth Proportional to 7,055.34, 9,733.86 and 4,071.93

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Solution

The fourth proportional to 7,055.34, 9,733.86 and 4,071.93 is: 5,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.34 : 9,733.86 = 4,071.93 : x
  2. Step 2: Convert to fraction form
    7,055.34/9,733.86 = 4,071.93/x
  3. Step 3: Cross multiply
    7,055.34x = 9,733.86 × 4,071.93
  4. Step 4: Simplify right side
    7,055.34x = 39,635,596.55
  5. Step 5: Solve for x
    x = 39,635,596.55/7,055.34
  6. Step 6: Final answer
    x = 5,617.82

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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.