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Finding the Fourth Proportional to 9,243.60, 12,756.16 and 5,051.84

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Solution

The fourth proportional to 9,243.60, 12,756.16 and 5,051.84 is: 6,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.60 : 12,756.16 = 5,051.84 : x
  2. Step 2: Convert to fraction form
    9,243.60/12,756.16 = 5,051.84/x
  3. Step 3: Cross multiply
    9,243.60x = 12,756.16 × 5,051.84
  4. Step 4: Simplify right side
    9,243.60x = 64,442,079.33
  5. Step 5: Solve for x
    x = 64,442,079.33/9,243.60
  6. Step 6: Final answer
    x = 6,971.53

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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.