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Finding the Fourth Proportional to 9,210.16, 12,708.93 and 5,434.48

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Solution

The fourth proportional to 9,210.16, 12,708.93 and 5,434.48 is: 7,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.16 : 12,708.93 = 5,434.48 : x
  2. Step 2: Convert to fraction form
    9,210.16/12,708.93 = 5,434.48/x
  3. Step 3: Cross multiply
    9,210.16x = 12,708.93 × 5,434.48
  4. Step 4: Simplify right side
    9,210.16x = 69,066,425.91
  5. Step 5: Solve for x
    x = 69,066,425.91/9,210.16
  6. Step 6: Final answer
    x = 7,498.94

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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.