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Finding the Fourth Proportional to 9,730.76, 14,570.94 and 7,087.40

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Solution

The fourth proportional to 9,730.76, 14,570.94 and 7,087.40 is: 10,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.76 : 14,570.94 = 7,087.40 : x
  2. Step 2: Convert to fraction form
    9,730.76/14,570.94 = 7,087.40/x
  3. Step 3: Cross multiply
    9,730.76x = 14,570.94 × 7,087.40
  4. Step 4: Simplify right side
    9,730.76x = 103,270,080.16
  5. Step 5: Solve for x
    x = 103,270,080.16/9,730.76
  6. Step 6: Final answer
    x = 10,612.75

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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.