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Finding the Fourth Proportional to 9,795.44, 14,664 and 9,445.52

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Solution

The fourth proportional to 9,795.44, 14,664 and 9,445.52 is: 14,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.44 : 14,664 = 9,445.52 : x
  2. Step 2: Convert to fraction form
    9,795.44/14,664 = 9,445.52/x
  3. Step 3: Cross multiply
    9,795.44x = 14,664 × 9,445.52
  4. Step 4: Simplify right side
    9,795.44x = 138,509,105.28
  5. Step 5: Solve for x
    x = 138,509,105.28/9,795.44
  6. Step 6: Final answer
    x = 14,140.16

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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.