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Finding the Fourth Proportional to 9,984.56, 13,779.45 and 5,509.17

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Solution

The fourth proportional to 9,984.56, 13,779.45 and 5,509.17 is: 7,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.56 : 13,779.45 = 5,509.17 : x
  2. Step 2: Convert to fraction form
    9,984.56/13,779.45 = 5,509.17/x
  3. Step 3: Cross multiply
    9,984.56x = 13,779.45 × 5,509.17
  4. Step 4: Simplify right side
    9,984.56x = 75,913,332.56
  5. Step 5: Solve for x
    x = 75,913,332.56/9,984.56
  6. Step 6: Final answer
    x = 7,603.08

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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.