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Finding the Fourth Proportional to 12,346.19, 17,037.94 and 6,968.91

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Solution

The fourth proportional to 12,346.19, 17,037.94 and 6,968.91 is: 9,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.19 : 17,037.94 = 6,968.91 : x
  2. Step 2: Convert to fraction form
    12,346.19/17,037.94 = 6,968.91/x
  3. Step 3: Cross multiply
    12,346.19x = 17,037.94 × 6,968.91
  4. Step 4: Simplify right side
    12,346.19x = 118,735,785.26
  5. Step 5: Solve for x
    x = 118,735,785.26/12,346.19
  6. Step 6: Final answer
    x = 9,617.20

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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.