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Finding the Fourth Proportional to 9,573.58, 14,345.70 and 6,442

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Solution

The fourth proportional to 9,573.58, 14,345.70 and 6,442 is: 9,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.58 : 14,345.70 = 6,442 : x
  2. Step 2: Convert to fraction form
    9,573.58/14,345.70 = 6,442/x
  3. Step 3: Cross multiply
    9,573.58x = 14,345.70 × 6,442
  4. Step 4: Simplify right side
    9,573.58x = 92,414,999.40
  5. Step 5: Solve for x
    x = 92,414,999.40/9,573.58
  6. Step 6: Final answer
    x = 9,653.13

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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.