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Finding the Fourth Proportional to 6,825.51, 9,419.55 and 4,552.92

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Solution

The fourth proportional to 6,825.51, 9,419.55 and 4,552.92 is: 6,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.51 : 9,419.55 = 4,552.92 : x
  2. Step 2: Convert to fraction form
    6,825.51/9,419.55 = 4,552.92/x
  3. Step 3: Cross multiply
    6,825.51x = 9,419.55 × 4,552.92
  4. Step 4: Simplify right side
    6,825.51x = 42,886,457.59
  5. Step 5: Solve for x
    x = 42,886,457.59/6,825.51
  6. Step 6: Final answer
    x = 6,283.26

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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.