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Finding the Fourth Proportional to 9,513.16, 13,128.28 and 5,264.16

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Solution

The fourth proportional to 9,513.16, 13,128.28 and 5,264.16 is: 7,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.16 : 13,128.28 = 5,264.16 : x
  2. Step 2: Convert to fraction form
    9,513.16/13,128.28 = 5,264.16/x
  3. Step 3: Cross multiply
    9,513.16x = 13,128.28 × 5,264.16
  4. Step 4: Simplify right side
    9,513.16x = 69,109,304.05
  5. Step 5: Solve for x
    x = 69,109,304.05/9,513.16
  6. Step 6: Final answer
    x = 7,264.60

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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.