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Finding the Fourth Proportional to 10,312.74, 15,434.88 and 9,390.42

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Solution

The fourth proportional to 10,312.74, 15,434.88 and 9,390.42 is: 14,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.74 : 15,434.88 = 9,390.42 : x
  2. Step 2: Convert to fraction form
    10,312.74/15,434.88 = 9,390.42/x
  3. Step 3: Cross multiply
    10,312.74x = 15,434.88 × 9,390.42
  4. Step 4: Simplify right side
    10,312.74x = 144,940,005.85
  5. Step 5: Solve for x
    x = 144,940,005.85/10,312.74
  6. Step 6: Final answer
    x = 14,054.46

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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.