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Finding the Fourth Proportional to 9,686.52, 13,369.50 and 5,706.18

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Solution

The fourth proportional to 9,686.52, 13,369.50 and 5,706.18 is: 7,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.52 : 13,369.50 = 5,706.18 : x
  2. Step 2: Convert to fraction form
    9,686.52/13,369.50 = 5,706.18/x
  3. Step 3: Cross multiply
    9,686.52x = 13,369.50 × 5,706.18
  4. Step 4: Simplify right side
    9,686.52x = 76,288,773.51
  5. Step 5: Solve for x
    x = 76,288,773.51/9,686.52
  6. Step 6: Final answer
    x = 7,875.77

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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.