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Finding the Fourth Proportional to 9,718.72, 13,411.74 and 5,526.97

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Solution

The fourth proportional to 9,718.72, 13,411.74 and 5,526.97 is: 7,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.72 : 13,411.74 = 5,526.97 : x
  2. Step 2: Convert to fraction form
    9,718.72/13,411.74 = 5,526.97/x
  3. Step 3: Cross multiply
    9,718.72x = 13,411.74 × 5,526.97
  4. Step 4: Simplify right side
    9,718.72x = 74,126,284.63
  5. Step 5: Solve for x
    x = 74,126,284.63/9,718.72
  6. Step 6: Final answer
    x = 7,627.17

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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.