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Finding the Fourth Proportional to 9,152.68, 12,631.98 and 6,643.06

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Solution

The fourth proportional to 9,152.68, 12,631.98 and 6,643.06 is: 9,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.68 : 12,631.98 = 6,643.06 : x
  2. Step 2: Convert to fraction form
    9,152.68/12,631.98 = 6,643.06/x
  3. Step 3: Cross multiply
    9,152.68x = 12,631.98 × 6,643.06
  4. Step 4: Simplify right side
    9,152.68x = 83,915,001.06
  5. Step 5: Solve for x
    x = 83,915,001.06/9,152.68
  6. Step 6: Final answer
    x = 9,168.35

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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.