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Finding the Fourth Proportional to 9,756.99, 13,465.71 and 6,402.51

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Solution

The fourth proportional to 9,756.99, 13,465.71 and 6,402.51 is: 8,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.99 : 13,465.71 = 6,402.51 : x
  2. Step 2: Convert to fraction form
    9,756.99/13,465.71 = 6,402.51/x
  3. Step 3: Cross multiply
    9,756.99x = 13,465.71 × 6,402.51
  4. Step 4: Simplify right side
    9,756.99x = 86,214,342.93
  5. Step 5: Solve for x
    x = 86,214,342.93/9,756.99
  6. Step 6: Final answer
    x = 8,836.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.