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Finding the Fourth Proportional to 9,262.32, 13,895.04 and 4,071.84

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Solution

The fourth proportional to 9,262.32, 13,895.04 and 4,071.84 is: 6,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.32 : 13,895.04 = 4,071.84 : x
  2. Step 2: Convert to fraction form
    9,262.32/13,895.04 = 4,071.84/x
  3. Step 3: Cross multiply
    9,262.32x = 13,895.04 × 4,071.84
  4. Step 4: Simplify right side
    9,262.32x = 56,578,379.67
  5. Step 5: Solve for x
    x = 56,578,379.67/9,262.32
  6. Step 6: Final answer
    x = 6,108.45

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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.