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Finding the Fourth Proportional to 9,779.52, 13,495.46 and 5,587.76

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Solution

The fourth proportional to 9,779.52, 13,495.46 and 5,587.76 is: 7,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.52 : 13,495.46 = 5,587.76 : x
  2. Step 2: Convert to fraction form
    9,779.52/13,495.46 = 5,587.76/x
  3. Step 3: Cross multiply
    9,779.52x = 13,495.46 × 5,587.76
  4. Step 4: Simplify right side
    9,779.52x = 75,409,391.57
  5. Step 5: Solve for x
    x = 75,409,391.57/9,779.52
  6. Step 6: Final answer
    x = 7,710.95

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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.