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Finding the Fourth Proportional to 9,448.96, 14,156.32 and 5,284

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Solution

The fourth proportional to 9,448.96, 14,156.32 and 5,284 is: 7,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.96 : 14,156.32 = 5,284 : x
  2. Step 2: Convert to fraction form
    9,448.96/14,156.32 = 5,284/x
  3. Step 3: Cross multiply
    9,448.96x = 14,156.32 × 5,284
  4. Step 4: Simplify right side
    9,448.96x = 74,801,994.88
  5. Step 5: Solve for x
    x = 74,801,994.88/9,448.96
  6. Step 6: Final answer
    x = 7,916.43

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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.