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Finding the Fourth Proportional to 9,410.13, 14,106.02 and 4,478.45

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Solution

The fourth proportional to 9,410.13, 14,106.02 and 4,478.45 is: 6,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.13 : 14,106.02 = 4,478.45 : x
  2. Step 2: Convert to fraction form
    9,410.13/14,106.02 = 4,478.45/x
  3. Step 3: Cross multiply
    9,410.13x = 14,106.02 × 4,478.45
  4. Step 4: Simplify right side
    9,410.13x = 63,173,012.35
  5. Step 5: Solve for x
    x = 63,173,012.35/9,410.13
  6. Step 6: Final answer
    x = 6,713.30

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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.