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Finding the Fourth Proportional to 6,595.83, 9,106.49 and 5,886.45

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Solution

The fourth proportional to 6,595.83, 9,106.49 and 5,886.45 is: 8,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.83 : 9,106.49 = 5,886.45 : x
  2. Step 2: Convert to fraction form
    6,595.83/9,106.49 = 5,886.45/x
  3. Step 3: Cross multiply
    6,595.83x = 9,106.49 × 5,886.45
  4. Step 4: Simplify right side
    6,595.83x = 53,604,898.06
  5. Step 5: Solve for x
    x = 53,604,898.06/6,595.83
  6. Step 6: Final answer
    x = 8,127.09

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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.