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Finding the Fourth Proportional to 9,656.16, 13,318.61 and 8,862.05

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Solution

The fourth proportional to 9,656.16, 13,318.61 and 8,862.05 is: 12,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.16 : 13,318.61 = 8,862.05 : x
  2. Step 2: Convert to fraction form
    9,656.16/13,318.61 = 8,862.05/x
  3. Step 3: Cross multiply
    9,656.16x = 13,318.61 × 8,862.05
  4. Step 4: Simplify right side
    9,656.16x = 118,030,187.75
  5. Step 5: Solve for x
    x = 118,030,187.75/9,656.16
  6. Step 6: Final answer
    x = 12,223.31

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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.