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Finding the Fourth Proportional to 9,398.83, 12,970.35 and 5,419.93

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Solution

The fourth proportional to 9,398.83, 12,970.35 and 5,419.93 is: 7,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.83 : 12,970.35 = 5,419.93 : x
  2. Step 2: Convert to fraction form
    9,398.83/12,970.35 = 5,419.93/x
  3. Step 3: Cross multiply
    9,398.83x = 12,970.35 × 5,419.93
  4. Step 4: Simplify right side
    9,398.83x = 70,298,389.08
  5. Step 5: Solve for x
    x = 70,298,389.08/9,398.83
  6. Step 6: Final answer
    x = 7,479.48

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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.