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Finding the Fourth Proportional to 9,312.42, 14,032.76 and 7,705.10

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Solution

The fourth proportional to 9,312.42, 14,032.76 and 7,705.10 is: 11,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.42 : 14,032.76 = 7,705.10 : x
  2. Step 2: Convert to fraction form
    9,312.42/14,032.76 = 7,705.10/x
  3. Step 3: Cross multiply
    9,312.42x = 14,032.76 × 7,705.10
  4. Step 4: Simplify right side
    9,312.42x = 108,123,819.08
  5. Step 5: Solve for x
    x = 108,123,819.08/9,312.42
  6. Step 6: Final answer
    x = 11,610.71

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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.