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Finding the Fourth Proportional to 9,429.95, 13,022.03 and 6,078.54

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Solution

The fourth proportional to 9,429.95, 13,022.03 and 6,078.54 is: 8,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.95 : 13,022.03 = 6,078.54 : x
  2. Step 2: Convert to fraction form
    9,429.95/13,022.03 = 6,078.54/x
  3. Step 3: Cross multiply
    9,429.95x = 13,022.03 × 6,078.54
  4. Step 4: Simplify right side
    9,429.95x = 79,154,994.27
  5. Step 5: Solve for x
    x = 79,154,994.27/9,429.95
  6. Step 6: Final answer
    x = 8,394.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.