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Finding the Fourth Proportional to 9,756.68, 13,465.96 and 5,779.76

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Solution

The fourth proportional to 9,756.68, 13,465.96 and 5,779.76 is: 7,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.68 : 13,465.96 = 5,779.76 : x
  2. Step 2: Convert to fraction form
    9,756.68/13,465.96 = 5,779.76/x
  3. Step 3: Cross multiply
    9,756.68x = 13,465.96 × 5,779.76
  4. Step 4: Simplify right side
    9,756.68x = 77,829,935.19
  5. Step 5: Solve for x
    x = 77,829,935.19/9,756.68
  6. Step 6: Final answer
    x = 7,977.10

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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.