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Finding the Fourth Proportional to 9,397.81, 12,968.83 and 5,148.84

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Solution

The fourth proportional to 9,397.81, 12,968.83 and 5,148.84 is: 7,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.81 : 12,968.83 = 5,148.84 : x
  2. Step 2: Convert to fraction form
    9,397.81/12,968.83 = 5,148.84/x
  3. Step 3: Cross multiply
    9,397.81x = 12,968.83 × 5,148.84
  4. Step 4: Simplify right side
    9,397.81x = 66,774,430.66
  5. Step 5: Solve for x
    x = 66,774,430.66/9,397.81
  6. Step 6: Final answer
    x = 7,105.32

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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.