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Finding the Fourth Proportional to 9,141.76, 13,645.76 and 7,851.52

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Solution

The fourth proportional to 9,141.76, 13,645.76 and 7,851.52 is: 11,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.76 : 13,645.76 = 7,851.52 : x
  2. Step 2: Convert to fraction form
    9,141.76/13,645.76 = 7,851.52/x
  3. Step 3: Cross multiply
    9,141.76x = 13,645.76 × 7,851.52
  4. Step 4: Simplify right side
    9,141.76x = 107,139,957.56
  5. Step 5: Solve for x
    x = 107,139,957.56/9,141.76
  6. Step 6: Final answer
    x = 11,719.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.