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Finding the Fourth Proportional to 9,702.32, 14,543.10 and 5,533.34

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Solution

The fourth proportional to 9,702.32, 14,543.10 and 5,533.34 is: 8,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.32 : 14,543.10 = 5,533.34 : x
  2. Step 2: Convert to fraction form
    9,702.32/14,543.10 = 5,533.34/x
  3. Step 3: Cross multiply
    9,702.32x = 14,543.10 × 5,533.34
  4. Step 4: Simplify right side
    9,702.32x = 80,471,916.95
  5. Step 5: Solve for x
    x = 80,471,916.95/9,702.32
  6. Step 6: Final answer
    x = 8,294.09

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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.