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Finding the Fourth Proportional to 9,681.63, 14,521.08 and 3,106.98

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Solution

The fourth proportional to 9,681.63, 14,521.08 and 3,106.98 is: 4,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.63 : 14,521.08 = 3,106.98 : x
  2. Step 2: Convert to fraction form
    9,681.63/14,521.08 = 3,106.98/x
  3. Step 3: Cross multiply
    9,681.63x = 14,521.08 × 3,106.98
  4. Step 4: Simplify right side
    9,681.63x = 45,116,705.14
  5. Step 5: Solve for x
    x = 45,116,705.14/9,681.63
  6. Step 6: Final answer
    x = 4,660.03

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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.