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Finding the Fourth Proportional to 9,807.08, 14,696.58 and 7,605.50

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Solution

The fourth proportional to 9,807.08, 14,696.58 and 7,605.50 is: 11,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.08 : 14,696.58 = 7,605.50 : x
  2. Step 2: Convert to fraction form
    9,807.08/14,696.58 = 7,605.50/x
  3. Step 3: Cross multiply
    9,807.08x = 14,696.58 × 7,605.50
  4. Step 4: Simplify right side
    9,807.08x = 111,774,839.19
  5. Step 5: Solve for x
    x = 111,774,839.19/9,807.08
  6. Step 6: Final answer
    x = 11,397.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.