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Finding the Fourth Proportional to 9,210.84, 12,711.17 and 5,434.93

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Solution

The fourth proportional to 9,210.84, 12,711.17 and 5,434.93 is: 7,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.84 : 12,711.17 = 5,434.93 : x
  2. Step 2: Convert to fraction form
    9,210.84/12,711.17 = 5,434.93/x
  3. Step 3: Cross multiply
    9,210.84x = 12,711.17 × 5,434.93
  4. Step 4: Simplify right side
    9,210.84x = 69,084,319.17
  5. Step 5: Solve for x
    x = 69,084,319.17/9,210.84
  6. Step 6: Final answer
    x = 7,500.33

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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.