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Finding the Fourth Proportional to 6,354.15, 9,532.13 and 1,970.58

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Solution

The fourth proportional to 6,354.15, 9,532.13 and 1,970.58 is: 2,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.15 : 9,532.13 = 1,970.58 : x
  2. Step 2: Convert to fraction form
    6,354.15/9,532.13 = 1,970.58/x
  3. Step 3: Cross multiply
    6,354.15x = 9,532.13 × 1,970.58
  4. Step 4: Simplify right side
    6,354.15x = 18,783,808.09
  5. Step 5: Solve for x
    x = 18,783,808.09/6,354.15
  6. Step 6: Final answer
    x = 2,956.15

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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.