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Finding the Fourth Proportional to 9,537.76, 14,292.24 and 7,068.64

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Solution

The fourth proportional to 9,537.76, 14,292.24 and 7,068.64 is: 10,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.76 : 14,292.24 = 7,068.64 : x
  2. Step 2: Convert to fraction form
    9,537.76/14,292.24 = 7,068.64/x
  3. Step 3: Cross multiply
    9,537.76x = 14,292.24 × 7,068.64
  4. Step 4: Simplify right side
    9,537.76x = 101,026,699.35
  5. Step 5: Solve for x
    x = 101,026,699.35/9,537.76
  6. Step 6: Final answer
    x = 10,592.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.