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Finding the Fourth Proportional to 6,436.86, 8,875.35 and 5,970.30

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Solution

The fourth proportional to 6,436.86, 8,875.35 and 5,970.30 is: 8,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.86 : 8,875.35 = 5,970.30 : x
  2. Step 2: Convert to fraction form
    6,436.86/8,875.35 = 5,970.30/x
  3. Step 3: Cross multiply
    6,436.86x = 8,875.35 × 5,970.30
  4. Step 4: Simplify right side
    6,436.86x = 52,988,502.11
  5. Step 5: Solve for x
    x = 52,988,502.11/6,436.86
  6. Step 6: Final answer
    x = 8,232.04

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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.