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Finding the Fourth Proportional to 4,773.06, 6,543.35 and 4,696.52

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Solution

The fourth proportional to 4,773.06, 6,543.35 and 4,696.52 is: 6,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.06 : 6,543.35 = 4,696.52 : x
  2. Step 2: Convert to fraction form
    4,773.06/6,543.35 = 4,696.52/x
  3. Step 3: Cross multiply
    4,773.06x = 6,543.35 × 4,696.52
  4. Step 4: Simplify right side
    4,773.06x = 30,730,935.55
  5. Step 5: Solve for x
    x = 30,730,935.55/4,773.06
  6. Step 6: Final answer
    x = 6,438.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.