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Finding the Fourth Proportional to 9,019.60, 12,435.66 and 5,827.50

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Solution

The fourth proportional to 9,019.60, 12,435.66 and 5,827.50 is: 8,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.60 : 12,435.66 = 5,827.50 : x
  2. Step 2: Convert to fraction form
    9,019.60/12,435.66 = 5,827.50/x
  3. Step 3: Cross multiply
    9,019.60x = 12,435.66 × 5,827.50
  4. Step 4: Simplify right side
    9,019.60x = 72,468,808.65
  5. Step 5: Solve for x
    x = 72,468,808.65/9,019.60
  6. Step 6: Final answer
    x = 8,034.59

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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.