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Finding the Fourth Proportional to 6,430.72, 8,870.40 and 4,664.32

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Solution

The fourth proportional to 6,430.72, 8,870.40 and 4,664.32 is: 6,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.72 : 8,870.40 = 4,664.32 : x
  2. Step 2: Convert to fraction form
    6,430.72/8,870.40 = 4,664.32/x
  3. Step 3: Cross multiply
    6,430.72x = 8,870.40 × 4,664.32
  4. Step 4: Simplify right side
    6,430.72x = 41,374,384.13
  5. Step 5: Solve for x
    x = 41,374,384.13/6,430.72
  6. Step 6: Final answer
    x = 6,433.86

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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.