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Finding the Fourth Proportional to 9,653.47, 14,481.93 and 3,417.10

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Solution

The fourth proportional to 9,653.47, 14,481.93 and 3,417.10 is: 5,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.47 : 14,481.93 = 3,417.10 : x
  2. Step 2: Convert to fraction form
    9,653.47/14,481.93 = 3,417.10/x
  3. Step 3: Cross multiply
    9,653.47x = 14,481.93 × 3,417.10
  4. Step 4: Simplify right side
    9,653.47x = 49,486,203.00
  5. Step 5: Solve for x
    x = 49,486,203.00/9,653.47
  6. Step 6: Final answer
    x = 5,126.26

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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.