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Finding the Fourth Proportional to 9,325.84, 12,871.56 and 6,506.32

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Solution

The fourth proportional to 9,325.84, 12,871.56 and 6,506.32 is: 8,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.84 : 12,871.56 = 6,506.32 : x
  2. Step 2: Convert to fraction form
    9,325.84/12,871.56 = 6,506.32/x
  3. Step 3: Cross multiply
    9,325.84x = 12,871.56 × 6,506.32
  4. Step 4: Simplify right side
    9,325.84x = 83,746,488.26
  5. Step 5: Solve for x
    x = 83,746,488.26/9,325.84
  6. Step 6: Final answer
    x = 8,980.05

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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.