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Finding the Fourth Proportional to 9,135.54, 12,605.76 and 5,156.46

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Solution

The fourth proportional to 9,135.54, 12,605.76 and 5,156.46 is: 7,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.54 : 12,605.76 = 5,156.46 : x
  2. Step 2: Convert to fraction form
    9,135.54/12,605.76 = 5,156.46/x
  3. Step 3: Cross multiply
    9,135.54x = 12,605.76 × 5,156.46
  4. Step 4: Simplify right side
    9,135.54x = 65,001,097.21
  5. Step 5: Solve for x
    x = 65,001,097.21/9,135.54
  6. Step 6: Final answer
    x = 7,115.19

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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.