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Finding the Fourth Proportional to 9,878.54, 14,814.72 and 3,303.20

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Solution

The fourth proportional to 9,878.54, 14,814.72 and 3,303.20 is: 4,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.54 : 14,814.72 = 3,303.20 : x
  2. Step 2: Convert to fraction form
    9,878.54/14,814.72 = 3,303.20/x
  3. Step 3: Cross multiply
    9,878.54x = 14,814.72 × 3,303.20
  4. Step 4: Simplify right side
    9,878.54x = 48,935,909.03
  5. Step 5: Solve for x
    x = 48,935,909.03/9,878.54
  6. Step 6: Final answer
    x = 4,953.76

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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.