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Finding the Fourth Proportional to 9,653.42, 14,477.25 and 3,412.28

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Solution

The fourth proportional to 9,653.42, 14,477.25 and 3,412.28 is: 5,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.42 : 14,477.25 = 3,412.28 : x
  2. Step 2: Convert to fraction form
    9,653.42/14,477.25 = 3,412.28/x
  3. Step 3: Cross multiply
    9,653.42x = 14,477.25 × 3,412.28
  4. Step 4: Simplify right side
    9,653.42x = 49,400,430.63
  5. Step 5: Solve for x
    x = 49,400,430.63/9,653.42
  6. Step 6: Final answer
    x = 5,117.40

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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.