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Finding the Fourth Proportional to 9,667.34, 13,341.88 and 5,418.40

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Solution

The fourth proportional to 9,667.34, 13,341.88 and 5,418.40 is: 7,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.34 : 13,341.88 = 5,418.40 : x
  2. Step 2: Convert to fraction form
    9,667.34/13,341.88 = 5,418.40/x
  3. Step 3: Cross multiply
    9,667.34x = 13,341.88 × 5,418.40
  4. Step 4: Simplify right side
    9,667.34x = 72,291,642.59
  5. Step 5: Solve for x
    x = 72,291,642.59/9,667.34
  6. Step 6: Final answer
    x = 7,477.92

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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.