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Finding the Fourth Proportional to 9,117.64, 13,659.26 and 5,210.28

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Solution

The fourth proportional to 9,117.64, 13,659.26 and 5,210.28 is: 7,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.64 : 13,659.26 = 5,210.28 : x
  2. Step 2: Convert to fraction form
    9,117.64/13,659.26 = 5,210.28/x
  3. Step 3: Cross multiply
    9,117.64x = 13,659.26 × 5,210.28
  4. Step 4: Simplify right side
    9,117.64x = 71,168,569.19
  5. Step 5: Solve for x
    x = 71,168,569.19/9,117.64
  6. Step 6: Final answer
    x = 7,805.59

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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.