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Finding the Fourth Proportional to 10,415.16, 15,542.01 and 9,483.84

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Solution

The fourth proportional to 10,415.16, 15,542.01 and 9,483.84 is: 14,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.16 : 15,542.01 = 9,483.84 : x
  2. Step 2: Convert to fraction form
    10,415.16/15,542.01 = 9,483.84/x
  3. Step 3: Cross multiply
    10,415.16x = 15,542.01 × 9,483.84
  4. Step 4: Simplify right side
    10,415.16x = 147,397,936.12
  5. Step 5: Solve for x
    x = 147,397,936.12/10,415.16
  6. Step 6: Final answer
    x = 14,152.25

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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.