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Finding the Fourth Proportional to 9,386.42, 14,065.04 and 5,916.38

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Solution

The fourth proportional to 9,386.42, 14,065.04 and 5,916.38 is: 8,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.42 : 14,065.04 = 5,916.38 : x
  2. Step 2: Convert to fraction form
    9,386.42/14,065.04 = 5,916.38/x
  3. Step 3: Cross multiply
    9,386.42x = 14,065.04 × 5,916.38
  4. Step 4: Simplify right side
    9,386.42x = 83,214,065.82
  5. Step 5: Solve for x
    x = 83,214,065.82/9,386.42
  6. Step 6: Final answer
    x = 8,865.37

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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.