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Finding the Fourth Proportional to 9,289.57, 12,830.25 and 6,117.05

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Solution

The fourth proportional to 9,289.57, 12,830.25 and 6,117.05 is: 8,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.57 : 12,830.25 = 6,117.05 : x
  2. Step 2: Convert to fraction form
    9,289.57/12,830.25 = 6,117.05/x
  3. Step 3: Cross multiply
    9,289.57x = 12,830.25 × 6,117.05
  4. Step 4: Simplify right side
    9,289.57x = 78,483,216.61
  5. Step 5: Solve for x
    x = 78,483,216.61/9,289.57
  6. Step 6: Final answer
    x = 8,448.53

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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.