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Finding the Fourth Proportional to 6,503.94, 8,970.51 and 4,381.74

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Solution

The fourth proportional to 6,503.94, 8,970.51 and 4,381.74 is: 6,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.94 : 8,970.51 = 4,381.74 : x
  2. Step 2: Convert to fraction form
    6,503.94/8,970.51 = 4,381.74/x
  3. Step 3: Cross multiply
    6,503.94x = 8,970.51 × 4,381.74
  4. Step 4: Simplify right side
    6,503.94x = 39,306,442.49
  5. Step 5: Solve for x
    x = 39,306,442.49/6,503.94
  6. Step 6: Final answer
    x = 6,043.48

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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.