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Finding the Fourth Proportional to 9,585.58, 14,373.50 and 4,387

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Solution

The fourth proportional to 9,585.58, 14,373.50 and 4,387 is: 6,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.58 : 14,373.50 = 4,387 : x
  2. Step 2: Convert to fraction form
    9,585.58/14,373.50 = 4,387/x
  3. Step 3: Cross multiply
    9,585.58x = 14,373.50 × 4,387
  4. Step 4: Simplify right side
    9,585.58x = 63,056,544.50
  5. Step 5: Solve for x
    x = 63,056,544.50/9,585.58
  6. Step 6: Final answer
    x = 6,578.27

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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.