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Finding the Fourth Proportional to 9,689.32, 13,376.00 and 6,501.47

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Solution

The fourth proportional to 9,689.32, 13,376.00 and 6,501.47 is: 8,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.32 : 13,376.00 = 6,501.47 : x
  2. Step 2: Convert to fraction form
    9,689.32/13,376.00 = 6,501.47/x
  3. Step 3: Cross multiply
    9,689.32x = 13,376.00 × 6,501.47
  4. Step 4: Simplify right side
    9,689.32x = 86,963,630.21
  5. Step 5: Solve for x
    x = 86,963,630.21/9,689.32
  6. Step 6: Final answer
    x = 8,975.21

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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.