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Finding the Fourth Proportional to 9,159.76, 12,640.61 and 4,968.01

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Solution

The fourth proportional to 9,159.76, 12,640.61 and 4,968.01 is: 6,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.76 : 12,640.61 = 4,968.01 : x
  2. Step 2: Convert to fraction form
    9,159.76/12,640.61 = 4,968.01/x
  3. Step 3: Cross multiply
    9,159.76x = 12,640.61 × 4,968.01
  4. Step 4: Simplify right side
    9,159.76x = 62,798,652.05
  5. Step 5: Solve for x
    x = 62,798,652.05/9,159.76
  6. Step 6: Final answer
    x = 6,855.93

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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.