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Finding the Fourth Proportional to 9,740.51, 14,605.55 and 5,055.80

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Solution

The fourth proportional to 9,740.51, 14,605.55 and 5,055.80 is: 7,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.51 : 14,605.55 = 5,055.80 : x
  2. Step 2: Convert to fraction form
    9,740.51/14,605.55 = 5,055.80/x
  3. Step 3: Cross multiply
    9,740.51x = 14,605.55 × 5,055.80
  4. Step 4: Simplify right side
    9,740.51x = 73,842,641.38
  5. Step 5: Solve for x
    x = 73,842,641.38/9,740.51
  6. Step 6: Final answer
    x = 7,580.99

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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.