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Finding the Fourth Proportional to 10,493.80, 15,740.70 and 9,197.80

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Solution

The fourth proportional to 10,493.80, 15,740.70 and 9,197.80 is: 13,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.80 : 15,740.70 = 9,197.80 : x
  2. Step 2: Convert to fraction form
    10,493.80/15,740.70 = 9,197.80/x
  3. Step 3: Cross multiply
    10,493.80x = 15,740.70 × 9,197.80
  4. Step 4: Simplify right side
    10,493.80x = 144,779,810.46
  5. Step 5: Solve for x
    x = 144,779,810.46/10,493.80
  6. Step 6: Final answer
    x = 13,796.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.