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Finding the Fourth Proportional to 9,116.85, 12,581.25 and 4,925.10

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Solution

The fourth proportional to 9,116.85, 12,581.25 and 4,925.10 is: 6,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.85 : 12,581.25 = 4,925.10 : x
  2. Step 2: Convert to fraction form
    9,116.85/12,581.25 = 4,925.10/x
  3. Step 3: Cross multiply
    9,116.85x = 12,581.25 × 4,925.10
  4. Step 4: Simplify right side
    9,116.85x = 61,963,914.38
  5. Step 5: Solve for x
    x = 61,963,914.38/9,116.85
  6. Step 6: Final answer
    x = 6,796.64

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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.