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Finding the Fourth Proportional to 9,681.62, 14,521.56 and 3,017.84

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Solution

The fourth proportional to 9,681.62, 14,521.56 and 3,017.84 is: 4,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.62 : 14,521.56 = 3,017.84 : x
  2. Step 2: Convert to fraction form
    9,681.62/14,521.56 = 3,017.84/x
  3. Step 3: Cross multiply
    9,681.62x = 14,521.56 × 3,017.84
  4. Step 4: Simplify right side
    9,681.62x = 43,823,672.02
  5. Step 5: Solve for x
    x = 43,823,672.02/9,681.62
  6. Step 6: Final answer
    x = 4,526.48

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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.