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Finding the Fourth Proportional to 9,607.29, 13,258.67 and 5,415.81

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Solution

The fourth proportional to 9,607.29, 13,258.67 and 5,415.81 is: 7,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.29 : 13,258.67 = 5,415.81 : x
  2. Step 2: Convert to fraction form
    9,607.29/13,258.67 = 5,415.81/x
  3. Step 3: Cross multiply
    9,607.29x = 13,258.67 × 5,415.81
  4. Step 4: Simplify right side
    9,607.29x = 71,806,437.57
  5. Step 5: Solve for x
    x = 71,806,437.57/9,607.29
  6. Step 6: Final answer
    x = 7,474.16

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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.