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Finding the Fourth Proportional to 9,071.92, 13,602.72 and 4,626.86

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Solution

The fourth proportional to 9,071.92, 13,602.72 and 4,626.86 is: 6,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.92 : 13,602.72 = 4,626.86 : x
  2. Step 2: Convert to fraction form
    9,071.92/13,602.72 = 4,626.86/x
  3. Step 3: Cross multiply
    9,071.92x = 13,602.72 × 4,626.86
  4. Step 4: Simplify right side
    9,071.92x = 62,937,881.06
  5. Step 5: Solve for x
    x = 62,937,881.06/9,071.92
  6. Step 6: Final answer
    x = 6,937.66

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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.