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Finding the Fourth Proportional to 9,460.32, 14,192.54 and 2,886.32

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Solution

The fourth proportional to 9,460.32, 14,192.54 and 2,886.32 is: 4,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.32 : 14,192.54 = 2,886.32 : x
  2. Step 2: Convert to fraction form
    9,460.32/14,192.54 = 2,886.32/x
  3. Step 3: Cross multiply
    9,460.32x = 14,192.54 × 2,886.32
  4. Step 4: Simplify right side
    9,460.32x = 40,964,126.66
  5. Step 5: Solve for x
    x = 40,964,126.66/9,460.32
  6. Step 6: Final answer
    x = 4,330.10

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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.