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Finding the Fourth Proportional to 9,977.52, 14,953.32 and 9,822

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Solution

The fourth proportional to 9,977.52, 14,953.32 and 9,822 is: 14,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.52 : 14,953.32 = 9,822 : x
  2. Step 2: Convert to fraction form
    9,977.52/14,953.32 = 9,822/x
  3. Step 3: Cross multiply
    9,977.52x = 14,953.32 × 9,822
  4. Step 4: Simplify right side
    9,977.52x = 146,871,509.04
  5. Step 5: Solve for x
    x = 146,871,509.04/9,977.52
  6. Step 6: Final answer
    x = 14,720.24

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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.