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Finding the Fourth Proportional to 9,113.79, 12,580.14 and 5,667.07

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Solution

The fourth proportional to 9,113.79, 12,580.14 and 5,667.07 is: 7,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.79 : 12,580.14 = 5,667.07 : x
  2. Step 2: Convert to fraction form
    9,113.79/12,580.14 = 5,667.07/x
  3. Step 3: Cross multiply
    9,113.79x = 12,580.14 × 5,667.07
  4. Step 4: Simplify right side
    9,113.79x = 71,292,533.99
  5. Step 5: Solve for x
    x = 71,292,533.99/9,113.79
  6. Step 6: Final answer
    x = 7,822.49

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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.