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Finding the Fourth Proportional to 9,347.12, 14,017.61 and 3,423.00

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Solution

The fourth proportional to 9,347.12, 14,017.61 and 3,423.00 is: 5,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.12 : 14,017.61 = 3,423.00 : x
  2. Step 2: Convert to fraction form
    9,347.12/14,017.61 = 3,423.00/x
  3. Step 3: Cross multiply
    9,347.12x = 14,017.61 × 3,423.00
  4. Step 4: Simplify right side
    9,347.12x = 47,982,340.15
  5. Step 5: Solve for x
    x = 47,982,340.15/9,347.12
  6. Step 6: Final answer
    x = 5,133.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.