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Finding the Fourth Proportional to 9,725.84, 13,424.64 and 6,582

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Solution

The fourth proportional to 9,725.84, 13,424.64 and 6,582 is: 9,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.84 : 13,424.64 = 6,582 : x
  2. Step 2: Convert to fraction form
    9,725.84/13,424.64 = 6,582/x
  3. Step 3: Cross multiply
    9,725.84x = 13,424.64 × 6,582
  4. Step 4: Simplify right side
    9,725.84x = 88,360,980.48
  5. Step 5: Solve for x
    x = 88,360,980.48/9,725.84
  6. Step 6: Final answer
    x = 9,085.18

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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.