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Finding the Fourth Proportional to 9,597.84, 13,244.94 and 5,348.86

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Solution

The fourth proportional to 9,597.84, 13,244.94 and 5,348.86 is: 7,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.84 : 13,244.94 = 5,348.86 : x
  2. Step 2: Convert to fraction form
    9,597.84/13,244.94 = 5,348.86/x
  3. Step 3: Cross multiply
    9,597.84x = 13,244.94 × 5,348.86
  4. Step 4: Simplify right side
    9,597.84x = 70,845,329.77
  5. Step 5: Solve for x
    x = 70,845,329.77/9,597.84
  6. Step 6: Final answer
    x = 7,381.38

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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.