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Finding the Fourth Proportional to 9,702.08, 14,546.76 and 4,703.12

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Solution

The fourth proportional to 9,702.08, 14,546.76 and 4,703.12 is: 7,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.08 : 14,546.76 = 4,703.12 : x
  2. Step 2: Convert to fraction form
    9,702.08/14,546.76 = 4,703.12/x
  3. Step 3: Cross multiply
    9,702.08x = 14,546.76 × 4,703.12
  4. Step 4: Simplify right side
    9,702.08x = 68,415,157.89
  5. Step 5: Solve for x
    x = 68,415,157.89/9,702.08
  6. Step 6: Final answer
    x = 7,051.60

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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.