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Finding the Fourth Proportional to 9,300.69, 12,835.80 and 6,114.15

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Solution

The fourth proportional to 9,300.69, 12,835.80 and 6,114.15 is: 8,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.69 : 12,835.80 = 6,114.15 : x
  2. Step 2: Convert to fraction form
    9,300.69/12,835.80 = 6,114.15/x
  3. Step 3: Cross multiply
    9,300.69x = 12,835.80 × 6,114.15
  4. Step 4: Simplify right side
    9,300.69x = 78,480,006.57
  5. Step 5: Solve for x
    x = 78,480,006.57/9,300.69
  6. Step 6: Final answer
    x = 8,438.08

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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.