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Finding the Fourth Proportional to 9,730, 14,595.04 and 2,434

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Solution

The fourth proportional to 9,730, 14,595.04 and 2,434 is: 3,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730 : 14,595.04 = 2,434 : x
  2. Step 2: Convert to fraction form
    9,730/14,595.04 = 2,434/x
  3. Step 3: Cross multiply
    9,730x = 14,595.04 × 2,434
  4. Step 4: Simplify right side
    9,730x = 35,524,327.36
  5. Step 5: Solve for x
    x = 35,524,327.36/9,730
  6. Step 6: Final answer
    x = 3,651.01

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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.