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Finding the Fourth Proportional to 9,513.96, 14,265.81 and 4,317

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Solution

The fourth proportional to 9,513.96, 14,265.81 and 4,317 is: 6,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.96 : 14,265.81 = 4,317 : x
  2. Step 2: Convert to fraction form
    9,513.96/14,265.81 = 4,317/x
  3. Step 3: Cross multiply
    9,513.96x = 14,265.81 × 4,317
  4. Step 4: Simplify right side
    9,513.96x = 61,585,501.77
  5. Step 5: Solve for x
    x = 61,585,501.77/9,513.96
  6. Step 6: Final answer
    x = 6,473.17

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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.