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Finding the Fourth Proportional to 9,465.66, 14,205.78 and 4,275.18

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Solution

The fourth proportional to 9,465.66, 14,205.78 and 4,275.18 is: 6,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.66 : 14,205.78 = 4,275.18 : x
  2. Step 2: Convert to fraction form
    9,465.66/14,205.78 = 4,275.18/x
  3. Step 3: Cross multiply
    9,465.66x = 14,205.78 × 4,275.18
  4. Step 4: Simplify right side
    9,465.66x = 60,732,266.54
  5. Step 5: Solve for x
    x = 60,732,266.54/9,465.66
  6. Step 6: Final answer
    x = 6,416.06

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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.