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Finding the Fourth Proportional to 9,128.47, 12,599.24 and 5,769.14

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Solution

The fourth proportional to 9,128.47, 12,599.24 and 5,769.14 is: 7,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.47 : 12,599.24 = 5,769.14 : x
  2. Step 2: Convert to fraction form
    9,128.47/12,599.24 = 5,769.14/x
  3. Step 3: Cross multiply
    9,128.47x = 12,599.24 × 5,769.14
  4. Step 4: Simplify right side
    9,128.47x = 72,686,779.45
  5. Step 5: Solve for x
    x = 72,686,779.45/9,128.47
  6. Step 6: Final answer
    x = 7,962.65

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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.