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Finding the Fourth Proportional to 9,702.05, 14,555.75 and 3,862.76

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Solution

The fourth proportional to 9,702.05, 14,555.75 and 3,862.76 is: 5,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.05 : 14,555.75 = 3,862.76 : x
  2. Step 2: Convert to fraction form
    9,702.05/14,555.75 = 3,862.76/x
  3. Step 3: Cross multiply
    9,702.05x = 14,555.75 × 3,862.76
  4. Step 4: Simplify right side
    9,702.05x = 56,225,368.87
  5. Step 5: Solve for x
    x = 56,225,368.87/9,702.05
  6. Step 6: Final answer
    x = 5,795.21

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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.