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Finding the Fourth Proportional to 9,731.52, 14,597.04 and 4,180.32

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Solution

The fourth proportional to 9,731.52, 14,597.04 and 4,180.32 is: 6,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.52 : 14,597.04 = 4,180.32 : x
  2. Step 2: Convert to fraction form
    9,731.52/14,597.04 = 4,180.32/x
  3. Step 3: Cross multiply
    9,731.52x = 14,597.04 × 4,180.32
  4. Step 4: Simplify right side
    9,731.52x = 61,020,298.25
  5. Step 5: Solve for x
    x = 61,020,298.25/9,731.52
  6. Step 6: Final answer
    x = 6,270.38

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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.