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Finding the Fourth Proportional to 7,146.83, 9,862.49 and 4,498.74

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Solution

The fourth proportional to 7,146.83, 9,862.49 and 4,498.74 is: 6,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.83 : 9,862.49 = 4,498.74 : x
  2. Step 2: Convert to fraction form
    7,146.83/9,862.49 = 4,498.74/x
  3. Step 3: Cross multiply
    7,146.83x = 9,862.49 × 4,498.74
  4. Step 4: Simplify right side
    7,146.83x = 44,368,789.51
  5. Step 5: Solve for x
    x = 44,368,789.51/7,146.83
  6. Step 6: Final answer
    x = 6,208.18

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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.