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Finding the Fourth Proportional to 9,807.84, 13,525.65 and 7,566.18

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Solution

The fourth proportional to 9,807.84, 13,525.65 and 7,566.18 is: 10,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.84 : 13,525.65 = 7,566.18 : x
  2. Step 2: Convert to fraction form
    9,807.84/13,525.65 = 7,566.18/x
  3. Step 3: Cross multiply
    9,807.84x = 13,525.65 × 7,566.18
  4. Step 4: Simplify right side
    9,807.84x = 102,337,502.52
  5. Step 5: Solve for x
    x = 102,337,502.52/9,807.84
  6. Step 6: Final answer
    x = 10,434.25

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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.