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Finding the Fourth Proportional to 9,713.60, 14,574.68 and 5,095.52

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Solution

The fourth proportional to 9,713.60, 14,574.68 and 5,095.52 is: 7,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.60 : 14,574.68 = 5,095.52 : x
  2. Step 2: Convert to fraction form
    9,713.60/14,574.68 = 5,095.52/x
  3. Step 3: Cross multiply
    9,713.60x = 14,574.68 × 5,095.52
  4. Step 4: Simplify right side
    9,713.60x = 74,265,573.43
  5. Step 5: Solve for x
    x = 74,265,573.43/9,713.60
  6. Step 6: Final answer
    x = 7,645.53

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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.