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Finding the Fourth Proportional to 9,780.90, 13,500.70 and 6,598.80

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Solution

The fourth proportional to 9,780.90, 13,500.70 and 6,598.80 is: 9,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.90 : 13,500.70 = 6,598.80 : x
  2. Step 2: Convert to fraction form
    9,780.90/13,500.70 = 6,598.80/x
  3. Step 3: Cross multiply
    9,780.90x = 13,500.70 × 6,598.80
  4. Step 4: Simplify right side
    9,780.90x = 89,088,419.16
  5. Step 5: Solve for x
    x = 89,088,419.16/9,780.90
  6. Step 6: Final answer
    x = 9,108.41

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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.