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Finding the Fourth Proportional to 9,888.95, 13,646.48 and 5,412.42

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Solution

The fourth proportional to 9,888.95, 13,646.48 and 5,412.42 is: 7,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.95 : 13,646.48 = 5,412.42 : x
  2. Step 2: Convert to fraction form
    9,888.95/13,646.48 = 5,412.42/x
  3. Step 3: Cross multiply
    9,888.95x = 13,646.48 × 5,412.42
  4. Step 4: Simplify right side
    9,888.95x = 73,860,454.22
  5. Step 5: Solve for x
    x = 73,860,454.22/9,888.95
  6. Step 6: Final answer
    x = 7,468.99

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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.