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Finding the Fourth Proportional to 9,829.95, 13,565.48 and 5,580.87

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Solution

The fourth proportional to 9,829.95, 13,565.48 and 5,580.87 is: 7,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.95 : 13,565.48 = 5,580.87 : x
  2. Step 2: Convert to fraction form
    9,829.95/13,565.48 = 5,580.87/x
  3. Step 3: Cross multiply
    9,829.95x = 13,565.48 × 5,580.87
  4. Step 4: Simplify right side
    9,829.95x = 75,707,152.46
  5. Step 5: Solve for x
    x = 75,707,152.46/9,829.95
  6. Step 6: Final answer
    x = 7,701.68

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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.