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Finding the Fourth Proportional to 9,005.69, 13,510.80 and 6,378.34

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Solution

The fourth proportional to 9,005.69, 13,510.80 and 6,378.34 is: 9,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.69 : 13,510.80 = 6,378.34 : x
  2. Step 2: Convert to fraction form
    9,005.69/13,510.80 = 6,378.34/x
  3. Step 3: Cross multiply
    9,005.69x = 13,510.80 × 6,378.34
  4. Step 4: Simplify right side
    9,005.69x = 86,176,476.07
  5. Step 5: Solve for x
    x = 86,176,476.07/9,005.69
  6. Step 6: Final answer
    x = 9,569.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.