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Finding the Fourth Proportional to 9,487.74, 14,294.86 and 8,564.34

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Solution

The fourth proportional to 9,487.74, 14,294.86 and 8,564.34 is: 12,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.74 : 14,294.86 = 8,564.34 : x
  2. Step 2: Convert to fraction form
    9,487.74/14,294.86 = 8,564.34/x
  3. Step 3: Cross multiply
    9,487.74x = 14,294.86 × 8,564.34
  4. Step 4: Simplify right side
    9,487.74x = 122,426,041.29
  5. Step 5: Solve for x
    x = 122,426,041.29/9,487.74
  6. Step 6: Final answer
    x = 12,903.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.