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Finding the Fourth Proportional to 9,702.48, 14,556.16 and 4,153.12

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Solution

The fourth proportional to 9,702.48, 14,556.16 and 4,153.12 is: 6,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.48 : 14,556.16 = 4,153.12 : x
  2. Step 2: Convert to fraction form
    9,702.48/14,556.16 = 4,153.12/x
  3. Step 3: Cross multiply
    9,702.48x = 14,556.16 × 4,153.12
  4. Step 4: Simplify right side
    9,702.48x = 60,453,479.22
  5. Step 5: Solve for x
    x = 60,453,479.22/9,702.48
  6. Step 6: Final answer
    x = 6,230.72

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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.