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Finding the Fourth Proportional to 9,672.33, 14,510.63 and 3,099.18

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Solution

The fourth proportional to 9,672.33, 14,510.63 and 3,099.18 is: 4,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.33 : 14,510.63 = 3,099.18 : x
  2. Step 2: Convert to fraction form
    9,672.33/14,510.63 = 3,099.18/x
  3. Step 3: Cross multiply
    9,672.33x = 14,510.63 × 3,099.18
  4. Step 4: Simplify right side
    9,672.33x = 44,971,038.79
  5. Step 5: Solve for x
    x = 44,971,038.79/9,672.33
  6. Step 6: Final answer
    x = 4,649.45

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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.