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Finding the Fourth Proportional to 9,534.30, 13,158.03 and 5,758.39

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Solution

The fourth proportional to 9,534.30, 13,158.03 and 5,758.39 is: 7,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.30 : 13,158.03 = 5,758.39 : x
  2. Step 2: Convert to fraction form
    9,534.30/13,158.03 = 5,758.39/x
  3. Step 3: Cross multiply
    9,534.30x = 13,158.03 × 5,758.39
  4. Step 4: Simplify right side
    9,534.30x = 75,769,068.37
  5. Step 5: Solve for x
    x = 75,769,068.37/9,534.30
  6. Step 6: Final answer
    x = 7,947.00

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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.