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Finding the Fourth Proportional to 6,595.64, 9,102.04 and 4,077.16

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Solution

The fourth proportional to 6,595.64, 9,102.04 and 4,077.16 is: 5,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.64 : 9,102.04 = 4,077.16 : x
  2. Step 2: Convert to fraction form
    6,595.64/9,102.04 = 4,077.16/x
  3. Step 3: Cross multiply
    6,595.64x = 9,102.04 × 4,077.16
  4. Step 4: Simplify right side
    6,595.64x = 37,110,473.41
  5. Step 5: Solve for x
    x = 37,110,473.41/6,595.64
  6. Step 6: Final answer
    x = 5,626.52

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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.