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Finding the Fourth Proportional to 9,282.86, 12,805.82 and 5,302.93

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Solution

The fourth proportional to 9,282.86, 12,805.82 and 5,302.93 is: 7,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.86 : 12,805.82 = 5,302.93 : x
  2. Step 2: Convert to fraction form
    9,282.86/12,805.82 = 5,302.93/x
  3. Step 3: Cross multiply
    9,282.86x = 12,805.82 × 5,302.93
  4. Step 4: Simplify right side
    9,282.86x = 67,908,335.04
  5. Step 5: Solve for x
    x = 67,908,335.04/9,282.86
  6. Step 6: Final answer
    x = 7,315.45

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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.