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Finding the Fourth Proportional to 6,547.26, 9,823.37 and 3,038.95

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Solution

The fourth proportional to 6,547.26, 9,823.37 and 3,038.95 is: 4,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.26 : 9,823.37 = 3,038.95 : x
  2. Step 2: Convert to fraction form
    6,547.26/9,823.37 = 3,038.95/x
  3. Step 3: Cross multiply
    6,547.26x = 9,823.37 × 3,038.95
  4. Step 4: Simplify right side
    6,547.26x = 29,852,690.51
  5. Step 5: Solve for x
    x = 29,852,690.51/6,547.26
  6. Step 6: Final answer
    x = 4,559.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.