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Finding the Fourth Proportional to 6,852.48, 9,457.92 and 4,368

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Solution

The fourth proportional to 6,852.48, 9,457.92 and 4,368 is: 6,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.48 : 9,457.92 = 4,368 : x
  2. Step 2: Convert to fraction form
    6,852.48/9,457.92 = 4,368/x
  3. Step 3: Cross multiply
    6,852.48x = 9,457.92 × 4,368
  4. Step 4: Simplify right side
    6,852.48x = 41,312,194.56
  5. Step 5: Solve for x
    x = 41,312,194.56/6,852.48
  6. Step 6: Final answer
    x = 6,028.79

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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.