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Finding the Fourth Proportional to 7,019.68, 9,689.16 and 4,365.76

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Solution

The fourth proportional to 7,019.68, 9,689.16 and 4,365.76 is: 6,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.68 : 9,689.16 = 4,365.76 : x
  2. Step 2: Convert to fraction form
    7,019.68/9,689.16 = 4,365.76/x
  3. Step 3: Cross multiply
    7,019.68x = 9,689.16 × 4,365.76
  4. Step 4: Simplify right side
    7,019.68x = 42,300,547.16
  5. Step 5: Solve for x
    x = 42,300,547.16/7,019.68
  6. Step 6: Final answer
    x = 6,025.99

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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.