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Finding the Fourth Proportional to 9,564.55, 14,336.94 and 6,925.51

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Solution

The fourth proportional to 9,564.55, 14,336.94 and 6,925.51 is: 10,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.55 : 14,336.94 = 6,925.51 : x
  2. Step 2: Convert to fraction form
    9,564.55/14,336.94 = 6,925.51/x
  3. Step 3: Cross multiply
    9,564.55x = 14,336.94 × 6,925.51
  4. Step 4: Simplify right side
    9,564.55x = 99,290,665.23
  5. Step 5: Solve for x
    x = 99,290,665.23/9,564.55
  6. Step 6: Final answer
    x = 10,381.11

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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.