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Finding the Fourth Proportional to 7,037.84, 9,712.49 and 4,800.74

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Solution

The fourth proportional to 7,037.84, 9,712.49 and 4,800.74 is: 6,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.84 : 9,712.49 = 4,800.74 : x
  2. Step 2: Convert to fraction form
    7,037.84/9,712.49 = 4,800.74/x
  3. Step 3: Cross multiply
    7,037.84x = 9,712.49 × 4,800.74
  4. Step 4: Simplify right side
    7,037.84x = 46,627,066.68
  5. Step 5: Solve for x
    x = 46,627,066.68/7,037.84
  6. Step 6: Final answer
    x = 6,625.19

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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.