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Finding the Fourth Proportional to 9,895.59, 13,656.07 and 5,419.76

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Solution

The fourth proportional to 9,895.59, 13,656.07 and 5,419.76 is: 7,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.59 : 13,656.07 = 5,419.76 : x
  2. Step 2: Convert to fraction form
    9,895.59/13,656.07 = 5,419.76/x
  3. Step 3: Cross multiply
    9,895.59x = 13,656.07 × 5,419.76
  4. Step 4: Simplify right side
    9,895.59x = 74,012,622.01
  5. Step 5: Solve for x
    x = 74,012,622.01/9,895.59
  6. Step 6: Final answer
    x = 7,479.35

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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.