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Finding the Fourth Proportional to 9,444.16, 14,166.08 and 3,288

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Solution

The fourth proportional to 9,444.16, 14,166.08 and 3,288 is: 4,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.16 : 14,166.08 = 3,288 : x
  2. Step 2: Convert to fraction form
    9,444.16/14,166.08 = 3,288/x
  3. Step 3: Cross multiply
    9,444.16x = 14,166.08 × 3,288
  4. Step 4: Simplify right side
    9,444.16x = 46,578,071.04
  5. Step 5: Solve for x
    x = 46,578,071.04/9,444.16
  6. Step 6: Final answer
    x = 4,931.94

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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.