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Finding the Fourth Proportional to 9,910.42, 14,762.35 and 9,384.50

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Solution

The fourth proportional to 9,910.42, 14,762.35 and 9,384.50 is: 13,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.42 : 14,762.35 = 9,384.50 : x
  2. Step 2: Convert to fraction form
    9,910.42/14,762.35 = 9,384.50/x
  3. Step 3: Cross multiply
    9,910.42x = 14,762.35 × 9,384.50
  4. Step 4: Simplify right side
    9,910.42x = 138,537,273.58
  5. Step 5: Solve for x
    x = 138,537,273.58/9,910.42
  6. Step 6: Final answer
    x = 13,978.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.