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Finding the Fourth Proportional to 9,985.60, 13,779.92 and 5,509.32

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Solution

The fourth proportional to 9,985.60, 13,779.92 and 5,509.32 is: 7,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.60 : 13,779.92 = 5,509.32 : x
  2. Step 2: Convert to fraction form
    9,985.60/13,779.92 = 5,509.32/x
  3. Step 3: Cross multiply
    9,985.60x = 13,779.92 × 5,509.32
  4. Step 4: Simplify right side
    9,985.60x = 75,917,950.95
  5. Step 5: Solve for x
    x = 75,917,950.95/9,985.60
  6. Step 6: Final answer
    x = 7,602.74

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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.