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Finding the Fourth Proportional to 9,165.46, 13,746.97 and 2,592.16

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Solution

The fourth proportional to 9,165.46, 13,746.97 and 2,592.16 is: 3,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.46 : 13,746.97 = 2,592.16 : x
  2. Step 2: Convert to fraction form
    9,165.46/13,746.97 = 2,592.16/x
  3. Step 3: Cross multiply
    9,165.46x = 13,746.97 × 2,592.16
  4. Step 4: Simplify right side
    9,165.46x = 35,634,345.76
  5. Step 5: Solve for x
    x = 35,634,345.76/9,165.46
  6. Step 6: Final answer
    x = 3,887.89

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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.