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Finding the Fourth Proportional to 9,340.56, 13,997.88 and 4,718.16

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Solution

The fourth proportional to 9,340.56, 13,997.88 and 4,718.16 is: 7,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.56 : 13,997.88 = 4,718.16 : x
  2. Step 2: Convert to fraction form
    9,340.56/13,997.88 = 4,718.16/x
  3. Step 3: Cross multiply
    9,340.56x = 13,997.88 × 4,718.16
  4. Step 4: Simplify right side
    9,340.56x = 66,044,237.50
  5. Step 5: Solve for x
    x = 66,044,237.50/9,340.56
  6. Step 6: Final answer
    x = 7,070.69

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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.