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Finding the Fourth Proportional to 9,283.68, 13,925.52 and 5,385.42

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Solution

The fourth proportional to 9,283.68, 13,925.52 and 5,385.42 is: 8,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.68 : 13,925.52 = 5,385.42 : x
  2. Step 2: Convert to fraction form
    9,283.68/13,925.52 = 5,385.42/x
  3. Step 3: Cross multiply
    9,283.68x = 13,925.52 × 5,385.42
  4. Step 4: Simplify right side
    9,283.68x = 74,994,773.92
  5. Step 5: Solve for x
    x = 74,994,773.92/9,283.68
  6. Step 6: Final answer
    x = 8,078.13

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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.