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Finding the Fourth Proportional to 9,411.48, 14,127.44 and 7,078.14

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Solution

The fourth proportional to 9,411.48, 14,127.44 and 7,078.14 is: 10,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.48 : 14,127.44 = 7,078.14 : x
  2. Step 2: Convert to fraction form
    9,411.48/14,127.44 = 7,078.14/x
  3. Step 3: Cross multiply
    9,411.48x = 14,127.44 × 7,078.14
  4. Step 4: Simplify right side
    9,411.48x = 99,995,962.77
  5. Step 5: Solve for x
    x = 99,995,962.77/9,411.48
  6. Step 6: Final answer
    x = 10,624.89

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