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Finding the Fourth Proportional to 9,827.01, 14,740.50 and 5,664.36

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Solution

The fourth proportional to 9,827.01, 14,740.50 and 5,664.36 is: 8,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.01 : 14,740.50 = 5,664.36 : x
  2. Step 2: Convert to fraction form
    9,827.01/14,740.50 = 5,664.36/x
  3. Step 3: Cross multiply
    9,827.01x = 14,740.50 × 5,664.36
  4. Step 4: Simplify right side
    9,827.01x = 83,495,575.10
  5. Step 5: Solve for x
    x = 83,495,575.10/9,827.01
  6. Step 6: Final answer
    x = 8,496.54

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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.