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Finding the Fourth Proportional to 9,088.90, 13,633.35 and 8,214.10

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Solution

The fourth proportional to 9,088.90, 13,633.35 and 8,214.10 is: 12,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.90 : 13,633.35 = 8,214.10 : x
  2. Step 2: Convert to fraction form
    9,088.90/13,633.35 = 8,214.10/x
  3. Step 3: Cross multiply
    9,088.90x = 13,633.35 × 8,214.10
  4. Step 4: Simplify right side
    9,088.90x = 111,985,700.24
  5. Step 5: Solve for x
    x = 111,985,700.24/9,088.90
  6. Step 6: Final answer
    x = 12,321.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.