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Finding the Fourth Proportional to 9,506.59, 13,119.95 and 5,258.66

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Solution

The fourth proportional to 9,506.59, 13,119.95 and 5,258.66 is: 7,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.59 : 13,119.95 = 5,258.66 : x
  2. Step 2: Convert to fraction form
    9,506.59/13,119.95 = 5,258.66/x
  3. Step 3: Cross multiply
    9,506.59x = 13,119.95 × 5,258.66
  4. Step 4: Simplify right side
    9,506.59x = 68,993,303.81
  5. Step 5: Solve for x
    x = 68,993,303.81/9,506.59
  6. Step 6: Final answer
    x = 7,257.42

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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.