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Finding the Fourth Proportional to 9,210.06, 12,711.54 and 5,433

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Solution

The fourth proportional to 9,210.06, 12,711.54 and 5,433 is: 7,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.06 : 12,711.54 = 5,433 : x
  2. Step 2: Convert to fraction form
    9,210.06/12,711.54 = 5,433/x
  3. Step 3: Cross multiply
    9,210.06x = 12,711.54 × 5,433
  4. Step 4: Simplify right side
    9,210.06x = 69,061,796.82
  5. Step 5: Solve for x
    x = 69,061,796.82/9,210.06
  6. Step 6: Final answer
    x = 7,498.52

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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.