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Finding the Fourth Proportional to 9,283.40, 13,925.10 and 6,000.20

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Solution

The fourth proportional to 9,283.40, 13,925.10 and 6,000.20 is: 9,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.40 : 13,925.10 = 6,000.20 : x
  2. Step 2: Convert to fraction form
    9,283.40/13,925.10 = 6,000.20/x
  3. Step 3: Cross multiply
    9,283.40x = 13,925.10 × 6,000.20
  4. Step 4: Simplify right side
    9,283.40x = 83,553,385.02
  5. Step 5: Solve for x
    x = 83,553,385.02/9,283.40
  6. Step 6: Final answer
    x = 9,000.30

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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.