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Finding the Fourth Proportional to 9,168.84, 12,653 and 4,977.10

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Solution

The fourth proportional to 9,168.84, 12,653 and 4,977.10 is: 6,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.84 : 12,653 = 4,977.10 : x
  2. Step 2: Convert to fraction form
    9,168.84/12,653 = 4,977.10/x
  3. Step 3: Cross multiply
    9,168.84x = 12,653 × 4,977.10
  4. Step 4: Simplify right side
    9,168.84x = 62,975,246.30
  5. Step 5: Solve for x
    x = 62,975,246.30/9,168.84
  6. Step 6: Final answer
    x = 6,868.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.