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Finding the Fourth Proportional to 12,391.68, 17,100 and 6,802.32

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Solution

The fourth proportional to 12,391.68, 17,100 and 6,802.32 is: 9,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391.68 : 17,100 = 6,802.32 : x
  2. Step 2: Convert to fraction form
    12,391.68/17,100 = 6,802.32/x
  3. Step 3: Cross multiply
    12,391.68x = 17,100 × 6,802.32
  4. Step 4: Simplify right side
    12,391.68x = 116,319,672
  5. Step 5: Solve for x
    x = 116,319,672/12,391.68
  6. Step 6: Final answer
    x = 9,386.92

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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.