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Finding the Fourth Proportional to 9,740.69, 14,607.93 and 3,165.29

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Solution

The fourth proportional to 9,740.69, 14,607.93 and 3,165.29 is: 4,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.69 : 14,607.93 = 3,165.29 : x
  2. Step 2: Convert to fraction form
    9,740.69/14,607.93 = 3,165.29/x
  3. Step 3: Cross multiply
    9,740.69x = 14,607.93 × 3,165.29
  4. Step 4: Simplify right side
    9,740.69x = 46,238,334.75
  5. Step 5: Solve for x
    x = 46,238,334.75/9,740.69
  6. Step 6: Final answer
    x = 4,746.93

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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.