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Finding the Fourth Proportional to 9,892.47, 14,840.33 and 4,696.59

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Solution

The fourth proportional to 9,892.47, 14,840.33 and 4,696.59 is: 7,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.47 : 14,840.33 = 4,696.59 : x
  2. Step 2: Convert to fraction form
    9,892.47/14,840.33 = 4,696.59/x
  3. Step 3: Cross multiply
    9,892.47x = 14,840.33 × 4,696.59
  4. Step 4: Simplify right side
    9,892.47x = 69,698,921.99
  5. Step 5: Solve for x
    x = 69,698,921.99/9,892.47
  6. Step 6: Final answer
    x = 7,045.65

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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.