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Finding the Fourth Proportional to 9,810.60, 14,691.60 and 7,866.60

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Solution

The fourth proportional to 9,810.60, 14,691.60 and 7,866.60 is: 11,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.60 : 14,691.60 = 7,866.60 : x
  2. Step 2: Convert to fraction form
    9,810.60/14,691.60 = 7,866.60/x
  3. Step 3: Cross multiply
    9,810.60x = 14,691.60 × 7,866.60
  4. Step 4: Simplify right side
    9,810.60x = 115,572,940.56
  5. Step 5: Solve for x
    x = 115,572,940.56/9,810.60
  6. Step 6: Final answer
    x = 11,780.42

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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.