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Finding the Fourth Proportional to 9,509.35, 14,252.14 and 6,564.19

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Solution

The fourth proportional to 9,509.35, 14,252.14 and 6,564.19 is: 9,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.35 : 14,252.14 = 6,564.19 : x
  2. Step 2: Convert to fraction form
    9,509.35/14,252.14 = 6,564.19/x
  3. Step 3: Cross multiply
    9,509.35x = 14,252.14 × 6,564.19
  4. Step 4: Simplify right side
    9,509.35x = 93,553,754.87
  5. Step 5: Solve for x
    x = 93,553,754.87/9,509.35
  6. Step 6: Final answer
    x = 9,838.08

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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.