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Finding the Fourth Proportional to 9,966.65, 14,942.28 and 6,460.16

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Solution

The fourth proportional to 9,966.65, 14,942.28 and 6,460.16 is: 9,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.65 : 14,942.28 = 6,460.16 : x
  2. Step 2: Convert to fraction form
    9,966.65/14,942.28 = 6,460.16/x
  3. Step 3: Cross multiply
    9,966.65x = 14,942.28 × 6,460.16
  4. Step 4: Simplify right side
    9,966.65x = 96,529,519.56
  5. Step 5: Solve for x
    x = 96,529,519.56/9,966.65
  6. Step 6: Final answer
    x = 9,685.25

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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.