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Finding the Fourth Proportional to 9,783.45, 13,503.57 and 6,007.52

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Solution

The fourth proportional to 9,783.45, 13,503.57 and 6,007.52 is: 8,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.45 : 13,503.57 = 6,007.52 : x
  2. Step 2: Convert to fraction form
    9,783.45/13,503.57 = 6,007.52/x
  3. Step 3: Cross multiply
    9,783.45x = 13,503.57 × 6,007.52
  4. Step 4: Simplify right side
    9,783.45x = 81,122,966.85
  5. Step 5: Solve for x
    x = 81,122,966.85/9,783.45
  6. Step 6: Final answer
    x = 8,291.86

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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.