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Finding the Fourth Proportional to 9,465.73, 14,106.32 and 9,180.70

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Solution

The fourth proportional to 9,465.73, 14,106.32 and 9,180.70 is: 13,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.73 : 14,106.32 = 9,180.70 : x
  2. Step 2: Convert to fraction form
    9,465.73/14,106.32 = 9,180.70/x
  3. Step 3: Cross multiply
    9,465.73x = 14,106.32 × 9,180.70
  4. Step 4: Simplify right side
    9,465.73x = 129,505,892.02
  5. Step 5: Solve for x
    x = 129,505,892.02/9,465.73
  6. Step 6: Final answer
    x = 13,681.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.