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Finding the Fourth Proportional to 9,780.06, 13,483.08 and 6,193.20

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Solution

The fourth proportional to 9,780.06, 13,483.08 and 6,193.20 is: 8,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.06 : 13,483.08 = 6,193.20 : x
  2. Step 2: Convert to fraction form
    9,780.06/13,483.08 = 6,193.20/x
  3. Step 3: Cross multiply
    9,780.06x = 13,483.08 × 6,193.20
  4. Step 4: Simplify right side
    9,780.06x = 83,503,411.06
  5. Step 5: Solve for x
    x = 83,503,411.06/9,780.06
  6. Step 6: Final answer
    x = 8,538.13

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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.