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Finding the Fourth Proportional to 6,869.44, 9,480 and 4,596.76

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Solution

The fourth proportional to 6,869.44, 9,480 and 4,596.76 is: 6,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.44 : 9,480 = 4,596.76 : x
  2. Step 2: Convert to fraction form
    6,869.44/9,480 = 4,596.76/x
  3. Step 3: Cross multiply
    6,869.44x = 9,480 × 4,596.76
  4. Step 4: Simplify right side
    6,869.44x = 43,577,284.80
  5. Step 5: Solve for x
    x = 43,577,284.80/6,869.44
  6. Step 6: Final answer
    x = 6,343.64

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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.