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Finding the Fourth Proportional to 9,665.62, 14,485.47 and 4,460.02

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Solution

The fourth proportional to 9,665.62, 14,485.47 and 4,460.02 is: 6,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.62 : 14,485.47 = 4,460.02 : x
  2. Step 2: Convert to fraction form
    9,665.62/14,485.47 = 4,460.02/x
  3. Step 3: Cross multiply
    9,665.62x = 14,485.47 × 4,460.02
  4. Step 4: Simplify right side
    9,665.62x = 64,605,485.91
  5. Step 5: Solve for x
    x = 64,605,485.91/9,665.62
  6. Step 6: Final answer
    x = 6,684.05

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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.