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Finding the Fourth Proportional to 9,513.48, 13,128.49 and 5,264.22

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Solution

The fourth proportional to 9,513.48, 13,128.49 and 5,264.22 is: 7,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.48 : 13,128.49 = 5,264.22 : x
  2. Step 2: Convert to fraction form
    9,513.48/13,128.49 = 5,264.22/x
  3. Step 3: Cross multiply
    9,513.48x = 13,128.49 × 5,264.22
  4. Step 4: Simplify right side
    9,513.48x = 69,111,259.63
  5. Step 5: Solve for x
    x = 69,111,259.63/9,513.48
  6. Step 6: Final answer
    x = 7,264.56

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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.