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Finding the Fourth Proportional to 6,415.64, 8,848.68 and 4,429.52

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Solution

The fourth proportional to 6,415.64, 8,848.68 and 4,429.52 is: 6,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.64 : 8,848.68 = 4,429.52 : x
  2. Step 2: Convert to fraction form
    6,415.64/8,848.68 = 4,429.52/x
  3. Step 3: Cross multiply
    6,415.64x = 8,848.68 × 4,429.52
  4. Step 4: Simplify right side
    6,415.64x = 39,195,405.03
  5. Step 5: Solve for x
    x = 39,195,405.03/6,415.64
  6. Step 6: Final answer
    x = 6,109.35

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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.