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Finding the Fourth Proportional to 9,071.40, 13,607.10 and 8,533.80

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Solution

The fourth proportional to 9,071.40, 13,607.10 and 8,533.80 is: 12,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.40 : 13,607.10 = 8,533.80 : x
  2. Step 2: Convert to fraction form
    9,071.40/13,607.10 = 8,533.80/x
  3. Step 3: Cross multiply
    9,071.40x = 13,607.10 × 8,533.80
  4. Step 4: Simplify right side
    9,071.40x = 116,120,269.98
  5. Step 5: Solve for x
    x = 116,120,269.98/9,071.40
  6. Step 6: Final answer
    x = 12,800.70

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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.