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Finding the Fourth Proportional to 9,713.91, 13,404.65 and 5,465.15

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Solution

The fourth proportional to 9,713.91, 13,404.65 and 5,465.15 is: 7,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.91 : 13,404.65 = 5,465.15 : x
  2. Step 2: Convert to fraction form
    9,713.91/13,404.65 = 5,465.15/x
  3. Step 3: Cross multiply
    9,713.91x = 13,404.65 × 5,465.15
  4. Step 4: Simplify right side
    9,713.91x = 73,258,378.87
  5. Step 5: Solve for x
    x = 73,258,378.87/9,713.91
  6. Step 6: Final answer
    x = 7,541.60

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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.