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Finding the Fourth Proportional to 9,490.30, 14,223.06 and 6,866.64

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Solution

The fourth proportional to 9,490.30, 14,223.06 and 6,866.64 is: 10,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.30 : 14,223.06 = 6,866.64 : x
  2. Step 2: Convert to fraction form
    9,490.30/14,223.06 = 6,866.64/x
  3. Step 3: Cross multiply
    9,490.30x = 14,223.06 × 6,866.64
  4. Step 4: Simplify right side
    9,490.30x = 97,664,632.72
  5. Step 5: Solve for x
    x = 97,664,632.72/9,490.30
  6. Step 6: Final answer
    x = 10,291.00

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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.