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Finding the Fourth Proportional to 6,595.95, 9,106.67 and 5,886.59

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Solution

The fourth proportional to 6,595.95, 9,106.67 and 5,886.59 is: 8,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.95 : 9,106.67 = 5,886.59 : x
  2. Step 2: Convert to fraction form
    6,595.95/9,106.67 = 5,886.59/x
  3. Step 3: Cross multiply
    6,595.95x = 9,106.67 × 5,886.59
  4. Step 4: Simplify right side
    6,595.95x = 53,607,157.59
  5. Step 5: Solve for x
    x = 53,607,157.59/6,595.95
  6. Step 6: Final answer
    x = 8,127.28

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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.