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Finding the Fourth Proportional to 9,322.84, 12,864.35 and 6,304.53

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Solution

The fourth proportional to 9,322.84, 12,864.35 and 6,304.53 is: 8,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.84 : 12,864.35 = 6,304.53 : x
  2. Step 2: Convert to fraction form
    9,322.84/12,864.35 = 6,304.53/x
  3. Step 3: Cross multiply
    9,322.84x = 12,864.35 × 6,304.53
  4. Step 4: Simplify right side
    9,322.84x = 81,103,680.51
  5. Step 5: Solve for x
    x = 81,103,680.51/9,322.84
  6. Step 6: Final answer
    x = 8,699.46

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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.