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Finding the Fourth Proportional to 9,242.01, 13,858.58 and 6,470.00

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Solution

The fourth proportional to 9,242.01, 13,858.58 and 6,470.00 is: 9,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.01 : 13,858.58 = 6,470.00 : x
  2. Step 2: Convert to fraction form
    9,242.01/13,858.58 = 6,470.00/x
  3. Step 3: Cross multiply
    9,242.01x = 13,858.58 × 6,470.00
  4. Step 4: Simplify right side
    9,242.01x = 89,664,910.96
  5. Step 5: Solve for x
    x = 89,664,910.96/9,242.01
  6. Step 6: Final answer
    x = 9,701.88

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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.