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Finding the Fourth Proportional to 9,117.95, 12,582.75 and 4,926.20

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Solution

The fourth proportional to 9,117.95, 12,582.75 and 4,926.20 is: 6,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.95 : 12,582.75 = 4,926.20 : x
  2. Step 2: Convert to fraction form
    9,117.95/12,582.75 = 4,926.20/x
  3. Step 3: Cross multiply
    9,117.95x = 12,582.75 × 4,926.20
  4. Step 4: Simplify right side
    9,117.95x = 61,985,080.14
  5. Step 5: Solve for x
    x = 61,985,080.14/9,117.95
  6. Step 6: Final answer
    x = 6,798.14

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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.