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Finding the Fourth Proportional to 6,875.79, 9,486.50 and 4,221.51

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Solution

The fourth proportional to 6,875.79, 9,486.50 and 4,221.51 is: 5,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.79 : 9,486.50 = 4,221.51 : x
  2. Step 2: Convert to fraction form
    6,875.79/9,486.50 = 4,221.51/x
  3. Step 3: Cross multiply
    6,875.79x = 9,486.50 × 4,221.51
  4. Step 4: Simplify right side
    6,875.79x = 40,047,333.51
  5. Step 5: Solve for x
    x = 40,047,333.51/6,875.79
  6. Step 6: Final answer
    x = 5,824.40

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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.