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Finding the Fourth Proportional to 9,681.76, 14,521.86 and 3,106.20

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Solution

The fourth proportional to 9,681.76, 14,521.86 and 3,106.20 is: 4,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.76 : 14,521.86 = 3,106.20 : x
  2. Step 2: Convert to fraction form
    9,681.76/14,521.86 = 3,106.20/x
  3. Step 3: Cross multiply
    9,681.76x = 14,521.86 × 3,106.20
  4. Step 4: Simplify right side
    9,681.76x = 45,107,801.53
  5. Step 5: Solve for x
    x = 45,107,801.53/9,681.76
  6. Step 6: Final answer
    x = 4,659.05

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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.