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Finding the Fourth Proportional to 9,810.48, 13,544.04 and 7,814.64

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Solution

The fourth proportional to 9,810.48, 13,544.04 and 7,814.64 is: 10,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.48 : 13,544.04 = 7,814.64 : x
  2. Step 2: Convert to fraction form
    9,810.48/13,544.04 = 7,814.64/x
  3. Step 3: Cross multiply
    9,810.48x = 13,544.04 × 7,814.64
  4. Step 4: Simplify right side
    9,810.48x = 105,841,796.75
  5. Step 5: Solve for x
    x = 105,841,796.75/9,810.48
  6. Step 6: Final answer
    x = 10,788.65

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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.