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Finding the Fourth Proportional to 7,018.16, 9,678.72 and 5,422.40

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Solution

The fourth proportional to 7,018.16, 9,678.72 and 5,422.40 is: 7,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.16 : 9,678.72 = 5,422.40 : x
  2. Step 2: Convert to fraction form
    7,018.16/9,678.72 = 5,422.40/x
  3. Step 3: Cross multiply
    7,018.16x = 9,678.72 × 5,422.40
  4. Step 4: Simplify right side
    7,018.16x = 52,481,842.93
  5. Step 5: Solve for x
    x = 52,481,842.93/7,018.16
  6. Step 6: Final answer
    x = 7,478.01

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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.