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Finding the Fourth Proportional to 9,291.34, 12,822.96 and 5,313.04

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Solution

The fourth proportional to 9,291.34, 12,822.96 and 5,313.04 is: 7,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.34 : 12,822.96 = 5,313.04 : x
  2. Step 2: Convert to fraction form
    9,291.34/12,822.96 = 5,313.04/x
  3. Step 3: Cross multiply
    9,291.34x = 12,822.96 × 5,313.04
  4. Step 4: Simplify right side
    9,291.34x = 68,128,899.40
  5. Step 5: Solve for x
    x = 68,128,899.40/9,291.34
  6. Step 6: Final answer
    x = 7,332.52

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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.