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Finding the Fourth Proportional to 7,146.80, 9,859.27 and 4,629.76

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Solution

The fourth proportional to 7,146.80, 9,859.27 and 4,629.76 is: 6,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.80 : 9,859.27 = 4,629.76 : x
  2. Step 2: Convert to fraction form
    7,146.80/9,859.27 = 4,629.76/x
  3. Step 3: Cross multiply
    7,146.80x = 9,859.27 × 4,629.76
  4. Step 4: Simplify right side
    7,146.80x = 45,646,026.33
  5. Step 5: Solve for x
    x = 45,646,026.33/7,146.80
  6. Step 6: Final answer
    x = 6,386.92

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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.