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Finding the Fourth Proportional to 34,258.64, 51,382.02 and 9,295.40

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Solution

The fourth proportional to 34,258.64, 51,382.02 and 9,295.40 is: 13,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,258.64 : 51,382.02 = 9,295.40 : x
  2. Step 2: Convert to fraction form
    34,258.64/51,382.02 = 9,295.40/x
  3. Step 3: Cross multiply
    34,258.64x = 51,382.02 × 9,295.40
  4. Step 4: Simplify right side
    34,258.64x = 477,616,428.71
  5. Step 5: Solve for x
    x = 477,616,428.71/34,258.64
  6. Step 6: Final answer
    x = 13,941.49

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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.