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Finding the Fourth Proportional to 9,355.74, 14,030.68 and 3,114.29

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Solution

The fourth proportional to 9,355.74, 14,030.68 and 3,114.29 is: 4,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.74 : 14,030.68 = 3,114.29 : x
  2. Step 2: Convert to fraction form
    9,355.74/14,030.68 = 3,114.29/x
  3. Step 3: Cross multiply
    9,355.74x = 14,030.68 × 3,114.29
  4. Step 4: Simplify right side
    9,355.74x = 43,695,592.77
  5. Step 5: Solve for x
    x = 43,695,592.77/9,355.74
  6. Step 6: Final answer
    x = 4,670.46

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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.