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Finding the Fourth Proportional to 9,918.41, 13,686.95 and 5,442.07

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Solution

The fourth proportional to 9,918.41, 13,686.95 and 5,442.07 is: 7,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.41 : 13,686.95 = 5,442.07 : x
  2. Step 2: Convert to fraction form
    9,918.41/13,686.95 = 5,442.07/x
  3. Step 3: Cross multiply
    9,918.41x = 13,686.95 × 5,442.07
  4. Step 4: Simplify right side
    9,918.41x = 74,485,271.55
  5. Step 5: Solve for x
    x = 74,485,271.55/9,918.41
  6. Step 6: Final answer
    x = 7,509.80

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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.