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Finding the Fourth Proportional to 9,537.16, 13,152.96 and 7,152.49

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Solution

The fourth proportional to 9,537.16, 13,152.96 and 7,152.49 is: 9,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.16 : 13,152.96 = 7,152.49 : x
  2. Step 2: Convert to fraction form
    9,537.16/13,152.96 = 7,152.49/x
  3. Step 3: Cross multiply
    9,537.16x = 13,152.96 × 7,152.49
  4. Step 4: Simplify right side
    9,537.16x = 94,076,414.87
  5. Step 5: Solve for x
    x = 94,076,414.87/9,537.16
  6. Step 6: Final answer
    x = 9,864.20

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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.