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Finding the Fourth Proportional to 9,468.11, 13,065.43 and 5,434.00

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Solution

The fourth proportional to 9,468.11, 13,065.43 and 5,434.00 is: 7,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.11 : 13,065.43 = 5,434.00 : x
  2. Step 2: Convert to fraction form
    9,468.11/13,065.43 = 5,434.00/x
  3. Step 3: Cross multiply
    9,468.11x = 13,065.43 × 5,434.00
  4. Step 4: Simplify right side
    9,468.11x = 70,997,500.37
  5. Step 5: Solve for x
    x = 70,997,500.37/9,468.11
  6. Step 6: Final answer
    x = 7,498.60

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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.