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Finding the Fourth Proportional to 9,828.01, 14,742 and 5,665.36

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Solution

The fourth proportional to 9,828.01, 14,742 and 5,665.36 is: 8,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.01 : 14,742 = 5,665.36 : x
  2. Step 2: Convert to fraction form
    9,828.01/14,742 = 5,665.36/x
  3. Step 3: Cross multiply
    9,828.01x = 14,742 × 5,665.36
  4. Step 4: Simplify right side
    9,828.01x = 83,518,737.12
  5. Step 5: Solve for x
    x = 83,518,737.12/9,828.01
  6. Step 6: Final answer
    x = 8,498.03

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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.