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Finding the Fourth Proportional to 9,271.47, 12,784.46 and 7,142.39

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Solution

The fourth proportional to 9,271.47, 12,784.46 and 7,142.39 is: 9,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.47 : 12,784.46 = 7,142.39 : x
  2. Step 2: Convert to fraction form
    9,271.47/12,784.46 = 7,142.39/x
  3. Step 3: Cross multiply
    9,271.47x = 12,784.46 × 7,142.39
  4. Step 4: Simplify right side
    9,271.47x = 91,311,499.63
  5. Step 5: Solve for x
    x = 91,311,499.63/9,271.47
  6. Step 6: Final answer
    x = 9,848.65

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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.