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Finding the Fourth Proportional to 9,699.02, 14,555.73 and 6,410.78

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Solution

The fourth proportional to 9,699.02, 14,555.73 and 6,410.78 is: 9,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.02 : 14,555.73 = 6,410.78 : x
  2. Step 2: Convert to fraction form
    9,699.02/14,555.73 = 6,410.78/x
  3. Step 3: Cross multiply
    9,699.02x = 14,555.73 × 6,410.78
  4. Step 4: Simplify right side
    9,699.02x = 93,313,582.77
  5. Step 5: Solve for x
    x = 93,313,582.77/9,699.02
  6. Step 6: Final answer
    x = 9,620.93

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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.