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Finding the Fourth Proportional to 9,967.14, 14,947.42 and 3,302.10

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Solution

The fourth proportional to 9,967.14, 14,947.42 and 3,302.10 is: 4,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.14 : 14,947.42 = 3,302.10 : x
  2. Step 2: Convert to fraction form
    9,967.14/14,947.42 = 3,302.10/x
  3. Step 3: Cross multiply
    9,967.14x = 14,947.42 × 3,302.10
  4. Step 4: Simplify right side
    9,967.14x = 49,357,875.58
  5. Step 5: Solve for x
    x = 49,357,875.58/9,967.14
  6. Step 6: Final answer
    x = 4,952.06

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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.