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Finding the Fourth Proportional to 9,533.47, 14,304.12 and 4,193.90

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Solution

The fourth proportional to 9,533.47, 14,304.12 and 4,193.90 is: 6,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.47 : 14,304.12 = 4,193.90 : x
  2. Step 2: Convert to fraction form
    9,533.47/14,304.12 = 4,193.90/x
  3. Step 3: Cross multiply
    9,533.47x = 14,304.12 × 4,193.90
  4. Step 4: Simplify right side
    9,533.47x = 59,989,977.35
  5. Step 5: Solve for x
    x = 59,989,977.35/9,533.47
  6. Step 6: Final answer
    x = 6,292.57

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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.