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Finding the Fourth Proportional to 9,681.65, 14,521.10 and 3,106.97

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Solution

The fourth proportional to 9,681.65, 14,521.10 and 3,106.97 is: 4,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.65 : 14,521.10 = 3,106.97 : x
  2. Step 2: Convert to fraction form
    9,681.65/14,521.10 = 3,106.97/x
  3. Step 3: Cross multiply
    9,681.65x = 14,521.10 × 3,106.97
  4. Step 4: Simplify right side
    9,681.65x = 45,116,533.93
  5. Step 5: Solve for x
    x = 45,116,533.93/9,681.65
  6. Step 6: Final answer
    x = 4,660.01

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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.