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Finding the Fourth Proportional to 9,895.95, 13,656.63 and 5,419.89

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Solution

The fourth proportional to 9,895.95, 13,656.63 and 5,419.89 is: 7,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.95 : 13,656.63 = 5,419.89 : x
  2. Step 2: Convert to fraction form
    9,895.95/13,656.63 = 5,419.89/x
  3. Step 3: Cross multiply
    9,895.95x = 13,656.63 × 5,419.89
  4. Step 4: Simplify right side
    9,895.95x = 74,017,432.37
  5. Step 5: Solve for x
    x = 74,017,432.37/9,895.95
  6. Step 6: Final answer
    x = 7,479.57

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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.