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Finding the Fourth Proportional to 9,672.19, 13,347.75 and 5,894.86

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Solution

The fourth proportional to 9,672.19, 13,347.75 and 5,894.86 is: 8,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.19 : 13,347.75 = 5,894.86 : x
  2. Step 2: Convert to fraction form
    9,672.19/13,347.75 = 5,894.86/x
  3. Step 3: Cross multiply
    9,672.19x = 13,347.75 × 5,894.86
  4. Step 4: Simplify right side
    9,672.19x = 78,683,117.57
  5. Step 5: Solve for x
    x = 78,683,117.57/9,672.19
  6. Step 6: Final answer
    x = 8,134.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.