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Finding the Fourth Proportional to 10,570.57, 14,573.55 and 9,094.34

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Solution

The fourth proportional to 10,570.57, 14,573.55 and 9,094.34 is: 12,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.57 : 14,573.55 = 9,094.34 : x
  2. Step 2: Convert to fraction form
    10,570.57/14,573.55 = 9,094.34/x
  3. Step 3: Cross multiply
    10,570.57x = 14,573.55 × 9,094.34
  4. Step 4: Simplify right side
    10,570.57x = 132,536,818.71
  5. Step 5: Solve for x
    x = 132,536,818.71/10,570.57
  6. Step 6: Final answer
    x = 12,538.28

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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.