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Finding the Fourth Proportional to 7,232.99, 9,977.72 and 4,714.02

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Solution

The fourth proportional to 7,232.99, 9,977.72 and 4,714.02 is: 6,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.99 : 9,977.72 = 4,714.02 : x
  2. Step 2: Convert to fraction form
    7,232.99/9,977.72 = 4,714.02/x
  3. Step 3: Cross multiply
    7,232.99x = 9,977.72 × 4,714.02
  4. Step 4: Simplify right side
    7,232.99x = 47,035,148.06
  5. Step 5: Solve for x
    x = 47,035,148.06/7,232.99
  6. Step 6: Final answer
    x = 6,502.87

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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.