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Finding the Fourth Proportional to 9,366.78, 14,038.06 and 3,813.63

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Solution

The fourth proportional to 9,366.78, 14,038.06 and 3,813.63 is: 5,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.78 : 14,038.06 = 3,813.63 : x
  2. Step 2: Convert to fraction form
    9,366.78/14,038.06 = 3,813.63/x
  3. Step 3: Cross multiply
    9,366.78x = 14,038.06 × 3,813.63
  4. Step 4: Simplify right side
    9,366.78x = 53,535,966.76
  5. Step 5: Solve for x
    x = 53,535,966.76/9,366.78
  6. Step 6: Final answer
    x = 5,715.51

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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.