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Finding the Fourth Proportional to 9,317.16, 13,977.36 and 8,348.40

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Solution

The fourth proportional to 9,317.16, 13,977.36 and 8,348.40 is: 12,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.16 : 13,977.36 = 8,348.40 : x
  2. Step 2: Convert to fraction form
    9,317.16/13,977.36 = 8,348.40/x
  3. Step 3: Cross multiply
    9,317.16x = 13,977.36 × 8,348.40
  4. Step 4: Simplify right side
    9,317.16x = 116,688,592.22
  5. Step 5: Solve for x
    x = 116,688,592.22/9,317.16
  6. Step 6: Final answer
    x = 12,524.05

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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.