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Finding the Fourth Proportional to 9,102.90, 13,658.40 and 3,263.70

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Solution

The fourth proportional to 9,102.90, 13,658.40 and 3,263.70 is: 4,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.90 : 13,658.40 = 3,263.70 : x
  2. Step 2: Convert to fraction form
    9,102.90/13,658.40 = 3,263.70/x
  3. Step 3: Cross multiply
    9,102.90x = 13,658.40 × 3,263.70
  4. Step 4: Simplify right side
    9,102.90x = 44,576,920.08
  5. Step 5: Solve for x
    x = 44,576,920.08/9,102.90
  6. Step 6: Final answer
    x = 4,897.00

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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.