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Finding the Fourth Proportional to 6,407.37, 9,585.70 and 4,851.86

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Solution

The fourth proportional to 6,407.37, 9,585.70 and 4,851.86 is: 7,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.37 : 9,585.70 = 4,851.86 : x
  2. Step 2: Convert to fraction form
    6,407.37/9,585.70 = 4,851.86/x
  3. Step 3: Cross multiply
    6,407.37x = 9,585.70 × 4,851.86
  4. Step 4: Simplify right side
    6,407.37x = 46,508,414.34
  5. Step 5: Solve for x
    x = 46,508,414.34/6,407.37
  6. Step 6: Final answer
    x = 7,258.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.