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Finding the Fourth Proportional to 9,502.60, 13,111.41 and 5,673.49

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Solution

The fourth proportional to 9,502.60, 13,111.41 and 5,673.49 is: 7,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.60 : 13,111.41 = 5,673.49 : x
  2. Step 2: Convert to fraction form
    9,502.60/13,111.41 = 5,673.49/x
  3. Step 3: Cross multiply
    9,502.60x = 13,111.41 × 5,673.49
  4. Step 4: Simplify right side
    9,502.60x = 74,387,411.21
  5. Step 5: Solve for x
    x = 74,387,411.21/9,502.60
  6. Step 6: Final answer
    x = 7,828.11

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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.