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Finding the Fourth Proportional to 6,746.74, 9,301.70 and 4,948.54

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Solution

The fourth proportional to 6,746.74, 9,301.70 and 4,948.54 is: 6,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.74 : 9,301.70 = 4,948.54 : x
  2. Step 2: Convert to fraction form
    6,746.74/9,301.70 = 4,948.54/x
  3. Step 3: Cross multiply
    6,746.74x = 9,301.70 × 4,948.54
  4. Step 4: Simplify right side
    6,746.74x = 46,029,834.52
  5. Step 5: Solve for x
    x = 46,029,834.52/6,746.74
  6. Step 6: Final answer
    x = 6,822.53

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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.