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Finding the Fourth Proportional to 9,780.56, 13,483.77 and 6,193.70

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Solution

The fourth proportional to 9,780.56, 13,483.77 and 6,193.70 is: 8,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.56 : 13,483.77 = 6,193.70 : x
  2. Step 2: Convert to fraction form
    9,780.56/13,483.77 = 6,193.70/x
  3. Step 3: Cross multiply
    9,780.56x = 13,483.77 × 6,193.70
  4. Step 4: Simplify right side
    9,780.56x = 83,514,426.25
  5. Step 5: Solve for x
    x = 83,514,426.25/9,780.56
  6. Step 6: Final answer
    x = 8,538.82

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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.