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Finding the Fourth Proportional to 6,502.86, 8,969.76 and 3,848.46

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Solution

The fourth proportional to 6,502.86, 8,969.76 and 3,848.46 is: 5,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.86 : 8,969.76 = 3,848.46 : x
  2. Step 2: Convert to fraction form
    6,502.86/8,969.76 = 3,848.46/x
  3. Step 3: Cross multiply
    6,502.86x = 8,969.76 × 3,848.46
  4. Step 4: Simplify right side
    6,502.86x = 34,519,762.57
  5. Step 5: Solve for x
    x = 34,519,762.57/6,502.86
  6. Step 6: Final answer
    x = 5,308.40

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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.