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Finding the Fourth Proportional to 9,686.85, 13,368.15 and 6,859.29

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Solution

The fourth proportional to 9,686.85, 13,368.15 and 6,859.29 is: 9,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.85 : 13,368.15 = 6,859.29 : x
  2. Step 2: Convert to fraction form
    9,686.85/13,368.15 = 6,859.29/x
  3. Step 3: Cross multiply
    9,686.85x = 13,368.15 × 6,859.29
  4. Step 4: Simplify right side
    9,686.85x = 91,696,017.61
  5. Step 5: Solve for x
    x = 91,696,017.61/9,686.85
  6. Step 6: Final answer
    x = 9,466.03

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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.