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Finding the Fourth Proportional to 9,203.96, 12,702.30 and 5,846.42

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Solution

The fourth proportional to 9,203.96, 12,702.30 and 5,846.42 is: 8,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.96 : 12,702.30 = 5,846.42 : x
  2. Step 2: Convert to fraction form
    9,203.96/12,702.30 = 5,846.42/x
  3. Step 3: Cross multiply
    9,203.96x = 12,702.30 × 5,846.42
  4. Step 4: Simplify right side
    9,203.96x = 74,262,980.77
  5. Step 5: Solve for x
    x = 74,262,980.77/9,203.96
  6. Step 6: Final answer
    x = 8,068.59

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1.5x scale

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.