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Finding the Fourth Proportional to 7,149.76, 9,863.33 and 4,498.63

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Solution

The fourth proportional to 7,149.76, 9,863.33 and 4,498.63 is: 6,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.76 : 9,863.33 = 4,498.63 : x
  2. Step 2: Convert to fraction form
    7,149.76/9,863.33 = 4,498.63/x
  3. Step 3: Cross multiply
    7,149.76x = 9,863.33 × 4,498.63
  4. Step 4: Simplify right side
    7,149.76x = 44,371,484.46
  5. Step 5: Solve for x
    x = 44,371,484.46/7,149.76
  6. Step 6: Final answer
    x = 6,206.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.