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Finding the Fourth Proportional to 9,751.32, 14,621.47 and 5,803.79

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Solution

The fourth proportional to 9,751.32, 14,621.47 and 5,803.79 is: 8,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.32 : 14,621.47 = 5,803.79 : x
  2. Step 2: Convert to fraction form
    9,751.32/14,621.47 = 5,803.79/x
  3. Step 3: Cross multiply
    9,751.32x = 14,621.47 × 5,803.79
  4. Step 4: Simplify right side
    9,751.32x = 84,859,853.75
  5. Step 5: Solve for x
    x = 84,859,853.75/9,751.32
  6. Step 6: Final answer
    x = 8,702.40

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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.