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Finding the Fourth Proportional to 10,785.34, 14,851.10 and 9,209.98

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Solution

The fourth proportional to 10,785.34, 14,851.10 and 9,209.98 is: 12,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.34 : 14,851.10 = 9,209.98 : x
  2. Step 2: Convert to fraction form
    10,785.34/14,851.10 = 9,209.98/x
  3. Step 3: Cross multiply
    10,785.34x = 14,851.10 × 9,209.98
  4. Step 4: Simplify right side
    10,785.34x = 136,778,333.98
  5. Step 5: Solve for x
    x = 136,778,333.98/10,785.34
  6. Step 6: Final answer
    x = 12,681.88

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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.