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Finding the Fourth Proportional to 9,471.98, 13,070.40 and 5,494.16

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Solution

The fourth proportional to 9,471.98, 13,070.40 and 5,494.16 is: 7,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.98 : 13,070.40 = 5,494.16 : x
  2. Step 2: Convert to fraction form
    9,471.98/13,070.40 = 5,494.16/x
  3. Step 3: Cross multiply
    9,471.98x = 13,070.40 × 5,494.16
  4. Step 4: Simplify right side
    9,471.98x = 71,810,868.86
  5. Step 5: Solve for x
    x = 71,810,868.86/9,471.98
  6. Step 6: Final answer
    x = 7,581.40

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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.