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Finding the Fourth Proportional to 9,893.59, 13,653.16 and 5,417.33

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Solution

The fourth proportional to 9,893.59, 13,653.16 and 5,417.33 is: 7,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.59 : 13,653.16 = 5,417.33 : x
  2. Step 2: Convert to fraction form
    9,893.59/13,653.16 = 5,417.33/x
  3. Step 3: Cross multiply
    9,893.59x = 13,653.16 × 5,417.33
  4. Step 4: Simplify right side
    9,893.59x = 73,963,668.25
  5. Step 5: Solve for x
    x = 73,963,668.25/9,893.59
  6. Step 6: Final answer
    x = 7,475.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.