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Finding the Fourth Proportional to 9,702.95, 14,551.35 and 4,154.81

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Solution

The fourth proportional to 9,702.95, 14,551.35 and 4,154.81 is: 6,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.95 : 14,551.35 = 4,154.81 : x
  2. Step 2: Convert to fraction form
    9,702.95/14,551.35 = 4,154.81/x
  3. Step 3: Cross multiply
    9,702.95x = 14,551.35 × 4,154.81
  4. Step 4: Simplify right side
    9,702.95x = 60,458,052.91
  5. Step 5: Solve for x
    x = 60,458,052.91/9,702.95
  6. Step 6: Final answer
    x = 6,230.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.